45563116032 has 320 divisors, whose sum is σ = 163209911040. Its totient is φ = 12251824128.

The previous prime is 45563116019. The next prime is 45563116043. The reversal of 45563116032 is 23061136554.

45563116032 is a `hidden beast` number, since 4 + 5 + 5 + 631 + 16 + 0 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1631208 + ... + 1658904.

It is an arithmetic number, because the mean of its divisors is an integer number (510030972).

Almost surely, 2^45563116032 is an apocalyptic number.

45563116032 is a gapful number since it is divisible by the number (42) 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 45563116032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81604955520).

45563116032 is an abundant number, since it is smaller than the sum of its proper divisors (117646795008).

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

45563116032 is a wasteful number, since it uses less digits than its factorization.

45563116032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27748 (or 27726 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 45563116032 in words is "forty-five billion, five hundred sixty-three million, one hundred sixteen thousand, thirty-two".