45939924864000 has 528 divisors, whose sum is σ = 167155561634880. Its totient is φ = 12131676979200.

The previous prime is 45939924863993. The next prime is 45939924864059. The reversal of 45939924864000 is 46842993954.

45939924864000 is a `hidden beast` number, since 45 + 9 + 3 + 99 + 24 + 86 + 400 + 0 = 666.

It is a super-2 number, since 2×45939924864000² (a number of 28 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 118462416 + ... + 118849584.

Almost surely, 2^{45939924864000} is an apocalyptic number.

45939924864000 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 45939924864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83577780817440).

45939924864000 is an abundant number, since it is smaller than the sum of its proper divisors (121215636770880).

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

45939924864000 is a wasteful number, since it uses less digits than its factorization.

45939924864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387313 (or 387282 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 45939924864000 in words is "forty-five trillion, nine hundred thirty-nine billion, nine hundred twenty-four million, eight hundred sixty-four thousand".