45268864256 has 144 divisors (see below), whose sum is σ = 119285550720. Its totient is φ = 16599613440.

The previous prime is 45268864231. The next prime is 45268864301. The reversal of 45268864256 is 65246886254.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267560 + ... + 402648.

It is an arithmetic number, because the mean of its divisors is an integer number (828371880).

Almost surely, 2^45268864256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45268864256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59642775360).

45268864256 is an abundant number, since it is smaller than the sum of its proper divisors (74016686464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45268864256 is a wasteful number, since it uses less digits than its factorization.

45268864256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135140 (or 135126 counting only the distinct ones).

The product of its digits is 22118400, while the sum is 56.

The spelling of 45268864256 in words is "forty-five billion, two hundred sixty-eight million, eight hundred sixty-four thousand, two hundred fifty-six".