You have a problem with your code React-Hooks in your code, you cannot start the same state was with component (see my example).
Basically, the code is to concatenate the existing values with a text that represents the number "1", that in the language needs the value to be concatenated to be a text, minimum example:
const App = () => {
  const [n, setN] = React.useState(''); 
  const handleChange = (e) => setN(state => state + "1");
  return (
    <div>
      <input type="text" value={n} onChange={e => setN(e.target.value)} />
      <button onClick={handleChange}>adicionar</button>
    </div>
  )
}
ReactDOM.render( <App/> , document.getElementById('root'));
<script src="https://cdnjs.cloudflare.com/ajax/libs/react/16.9.0/umd/react.production.min.js"></script>
<script src="https://cdnjs.cloudflare.com/ajax/libs/react-dom/16.9.0/umd/react-dom.production.min.js"></script>
<div id="root">Carregando ...</div>
 
 
Observing: the snippet here is reactjs, but the concept is the same for React-Native
In your code it’s basically:
const App = () => {
    const [number, setNumber] = React.useState(''); 
    
    const printNumber = () => {
        setNumber(state => state + "1");
    }
    
    return (
        <View style={styles.container}>   
            <TextInput
                style={styles.input}
                value={this.number}
                onChangeText={(text) => setNumber(state => state + text)}
            />    
            <Button title="1" onPress={printNumber} />
        </View>
    );
}
this way will work typing and also when press the button.
							
							
						 
Thank you very much. I got the idea. I pasted the code and removed the "this" that was in the Textinput value. It worked perfect.
– Marcos Cruz
If useful @Marcoscruz reply check as response to help the community
– novic
I don’t know how to do.
– Marcos Cruz
@Marcoscruz please read: https://pt.meta.stackoverflow.com/questions/1078/como-e-por-que-aceitar-uma-resposta simply tick the answer and Positive if you so wish (up arrow you have given a useful answer and the check below arrow is accepting as answer to your question) read the answers
– novic