Yes, the number 1.345345634567 is a rational number. A rational number is a number that can be expressed as a fraction of two integers (whole numbers), where the denominator is not zero. The number 1.345345634567 can be written as a fraction where the numerator is the given decimal representation and the denominator is an appropriate power of 10 to move the decimal point back to its original position.
For example, you can write 1.345345634567 as the fraction:
Both the numerator and the denominator are integers, and the denominator is not zero, so the number 1.345345634567 is indeed a rational number.