45379177896960 has 220 divisors, whose sum is σ = 162613317975768. Its totient is φ = 12101113995264.

The previous prime is 45379177896901. The next prime is 45379177897033. The reversal of 45379177896960 is 6969877197354.

45379177896960 is a `hidden beast` number, since 4 + 5 + 379 + 1 + 7 + 78 + 96 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 45379177896960.

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 19 ways as a sum of consecutive naturals, for example, 54295902 + ... + 55125341.

Almost surely, 2^{45379177896960} is an apocalyptic number.

45379177896960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45379177896960 is an abundant number, since it is smaller than the sum of its proper divisors (117234140078808).

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

45379177896960 is a wasteful number, since it uses less digits than its factorization.

45379177896960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109421280 (or 109421253 counting only the distinct ones).

The product of its (nonzero) digits is 4320812160, while the sum is 81.

The spelling of 45379177896960 in words is "forty-five trillion, three hundred seventy-nine billion, one hundred seventy-seven million, eight hundred ninety-six thousand, nine hundred sixty".