45107625600 has 192 divisors, whose sum is σ = 165081696000. Its totient is φ = 12028677120.

The previous prime is 45107625587. The next prime is 45107625623. The reversal of 45107625600 is 652670154.

It is a happy number.

45107625600 is a `hidden beast` number, since 45 + 1 + 0 + 7 + 6 + 2 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174640 + ... + 347439.

It is an arithmetic number, because the mean of its divisors is an integer number (859800500).

Almost surely, 2^45107625600 is an apocalyptic number.

45107625600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45107625600 is an abundant number, since it is smaller than the sum of its proper divisors (119974070400).

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

45107625600 is a wasteful number, since it uses less digits than its factorization.

45107625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522112 (or 522089 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 45107625600 in words is "forty-five billion, one hundred seven million, six hundred twenty-five thousand, six hundred".