45736884912888 has 192 divisors, whose sum is σ = 135927700534080. Its totient is φ = 13806194688000.

The previous prime is 45736884912863. The next prime is 45736884912893. The reversal of 45736884912888 is 88821948863754.

45736884912888 is a `hidden beast` number, since 4 + 57 + 368 + 8 + 4 + 9 + 128 + 88 = 666.

45736884912888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 721814328 + ... + 721877688.

It is an arithmetic number, because the mean of its divisors is an integer number (707956773615).

Almost surely, 2^{45736884912888} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45736884912888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67963850267040).

45736884912888 is an abundant number, since it is smaller than the sum of its proper divisors (90190815621192).

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

45736884912888 is a wasteful number, since it uses less digits than its factorization.

45736884912888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77990 (or 77983 counting only the distinct ones).

The product of its digits is 5945425920, while the sum is 81.

The spelling of 45736884912888 in words is "forty-five trillion, seven hundred thirty-six billion, eight hundred eighty-four million, nine hundred twelve thousand, eight hundred eighty-eight".