45877542084 has 36 divisors (see below), whose sum is σ = 126510798960. Its totient is φ = 13902285360.

The previous prime is 45877542071. The next prime is 45877542097. The reversal of 45877542084 is 48024577854.

45877542084 is a `hidden beast` number, since 4 + 587 + 7 + 54 + 2 + 0 + 8 + 4 = 666.

45877542084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45877542071) and next prime (45877542097).

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45877542084.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57925794 + ... + 57926585.

It is an arithmetic number, because the mean of its divisors is an integer number (3514188860).

Almost surely, 2^45877542084 is an apocalyptic number.

45877542084 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

45877542084 is an abundant number, since it is smaller than the sum of its proper divisors (80633256876).

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

45877542084 is a wasteful number, since it uses less digits than its factorization.

45877542084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115852400 (or 115852395 counting only the distinct ones).

The product of its (nonzero) digits is 10035200, while the sum is 54.

The spelling of 45877542084 in words is "forty-five billion, eight hundred seventy-seven million, five hundred forty-two thousand, eighty-four".