45258765952 has 128 divisors (see below), whose sum is σ = 95673715200. Its totient is φ = 21295595520.

The previous prime is 45258765941. The next prime is 45258765961. The reversal of 45258765952 is 25956785254.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

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, 22707868 + ... + 22709860.

It is an arithmetic number, because the mean of its divisors is an integer number (747450900).

Almost surely, 2^45258765952 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 45258765952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47836857600).

45258765952 is an abundant number, since it is smaller than the sum of its proper divisors (50414949248).

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

45258765952 is a wasteful number, since it uses less digits than its factorization.

45258765952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194 (or 2182 counting only the distinct ones).

The product of its digits is 30240000, while the sum is 58.

The spelling of 45258765952 in words is "forty-five billion, two hundred fifty-eight million, seven hundred sixty-five thousand, nine hundred fifty-two".