45592957601856 has 560 divisors, whose sum is σ = 155381158969344. Its totient is φ = 12948982631424.

The previous prime is 45592957601827. The next prime is 45592957601887. The reversal of 45592957601856 is 65810675929554.

45592957601856 is a `hidden beast` number, since 4 + 5 + 5 + 9 + 2 + 9 + 5 + 7 + 601 + 8 + 5 + 6 = 666.

It is a super-2 number, since 2×45592957601856² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6012518641 + ... + 6012526223.

Almost surely, 2^{45592957601856} 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 45592957601856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77690579484672).

45592957601856 is an abundant number, since it is smaller than the sum of its proper divisors (109788201367488).

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

45592957601856 is a wasteful number, since it uses less digits than its factorization.

45592957601856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8580 (or 8561 counting only the distinct ones).

The product of its (nonzero) digits is 816480000, while the sum is 72.

The spelling of 45592957601856 in words is "forty-five trillion, five hundred ninety-two billion, nine hundred fifty-seven million, six hundred one thousand, eight hundred fifty-six".