45957576960 has 1152 divisors, whose sum is σ = 190729728000. Its totient is φ = 10393878528.

The previous prime is 45957576953. The next prime is 45957577013. The reversal of 45957576960 is 6967575954.

45957576960 is a `hidden beast` number, since 4 + 5 + 9 + 57 + 576 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×45957576960² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 256746151 + ... + 256746329.

It is an arithmetic number, because the mean of its divisors is an integer number (165564000).

Almost surely, 2^45957576960 is an apocalyptic number.

45957576960 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 45957576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95364864000).

45957576960 is an abundant number, since it is smaller than the sum of its proper divisors (144772151040).

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

45957576960 is a wasteful number, since it uses less digits than its factorization.

45957576960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 71442000, while the sum is 63.

The spelling of 45957576960 in words is "forty-five billion, nine hundred fifty-seven million, five hundred seventy-six thousand, nine hundred sixty".