Transcendental number
There are non-denumerably infinite transcendental numbers. So there are more transcendental numbers than integers.
Explanation
For people, the numbers 1, 2, 3 and so on are quite normal. There have been problems with 0 for a long time, nowadays it is a number. But not everyone agrees on that yet.
Transcendental numbers simply lie on the number line, between all other numbers.