45904977720000 has 2100 divisors, whose sum is σ = 198934168501200. Its totient is φ = 10432654848000.

The previous prime is 45904977719989. The next prime is 45904977720079. The reversal of 45904977720000 is 2777940954.

45904977720000 is a `hidden beast` number, since 4 + 590 + 49 + 7 + 7 + 7 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2100).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 31593239274 + ... + 31593240726.

Almost surely, 2^{45904977720000} is an apocalyptic number.

45904977720000 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 45904977720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99467084250600).

45904977720000 is an abundant number, since it is smaller than the sum of its proper divisors (153029190781200).

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

45904977720000 is a wasteful number, since it uses less digits than its factorization.

45904977720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 45904977720000 in words is "forty-five trillion, nine hundred four billion, nine hundred seventy-seven million, seven hundred twenty thousand".