45057092832 has 96 divisors (see below), whose sum is σ = 131839868160. Its totient is φ = 14970648960.

The previous prime is 45057092827. The next prime is 45057092849. The reversal of 45057092832 is 23829075054.

45057092832 is a `hidden beast` number, since 4 + 50 + 570 + 9 + 28 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×45057092832² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184863 + ... + 352545.

It is an arithmetic number, because the mean of its divisors is an integer number (1373331960).

Almost surely, 2^45057092832 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 45057092832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65919934080).

45057092832 is an abundant number, since it is smaller than the sum of its proper divisors (86782775328).

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

45057092832 is a wasteful number, since it uses less digits than its factorization.

45057092832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168013 (or 167999 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 45057092832 in words is "forty-five billion, fifty-seven million, ninety-two thousand, eight hundred thirty-two".