45757314600 has 48 divisors (see below), whose sum is σ = 141847677120. Its totient is φ = 12201950400.

The previous prime is 45757314599. The next prime is 45757314607. The reversal of 45757314600 is 641375754.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (45757314607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38130496 + ... + 38131695.

It is an arithmetic number, because the mean of its divisors is an integer number (2955159940).

Almost surely, 2^45757314600 is an apocalyptic number.

45757314600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45757314600 is an abundant number, since it is smaller than the sum of its proper divisors (96090362520).

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

45757314600 is a wasteful number, since it uses less digits than its factorization.

45757314600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76262210 (or 76262201 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 45757314600 in words is "forty-five billion, seven hundred fifty-seven million, three hundred fourteen thousand, six hundred".