45876096000 has 528 divisors, whose sum is σ = 188967904320. Its totient is φ = 10484121600.

The previous prime is 45876095999. The next prime is 45876096029. The reversal of 45876096000 is 69067854.

45876096000 is a `hidden beast` number, since 4 + 587 + 6 + 0 + 9 + 60 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8061156 + ... + 8066844.

Almost surely, 2^45876096000 is an apocalyptic number.

45876096000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45876096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94483952160).

45876096000 is an abundant number, since it is smaller than the sum of its proper divisors (143091808320).

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

45876096000 is a wasteful number, since it uses less digits than its factorization.

45876096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5737 (or 5706 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 45876096000 in words is "forty-five billion, eight hundred seventy-six million, ninety-six thousand".