45938872320 has 416 divisors, whose sum is σ = 162177081984. Its totient is φ = 11010048000.

The previous prime is 45938872267. The next prime is 45938872339. The reversal of 45938872320 is 2327883954.

It is a super-2 number, since 2×45938872320² (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 31 ways as a sum of consecutive naturals, for example, 68259504 + ... + 68260176.

Almost surely, 2^45938872320 is an apocalyptic number.

45938872320 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 45938872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81088540992).

45938872320 is an abundant number, since it is smaller than the sum of its proper divisors (116238209664).

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

45938872320 is a wasteful number, since it uses less digits than its factorization.

45938872320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 45938872320 in words is "forty-five billion, nine hundred thirty-eight million, eight hundred seventy-two thousand, three hundred twenty".