45876507192 has 160 divisors (see below), whose sum is σ = 131226242400. Its totient is φ = 14970479616.

The previous prime is 45876507169. The next prime is 45876507233. The reversal of 45876507192 is 29170567854.

45876507192 is a `hidden beast` number, since 4 + 58 + 76 + 507 + 19 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6477109 + ... + 6484187.

It is an arithmetic number, because the mean of its divisors is an integer number (820164015).

Almost surely, 2^45876507192 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 45876507192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65613121200).

45876507192 is an abundant number, since it is smaller than the sum of its proper divisors (85349735208).

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

45876507192 is a wasteful number, since it uses less digits than its factorization.

45876507192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7307 (or 7294 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 45876507192 in words is "forty-five billion, eight hundred seventy-six million, five hundred seven thousand, one hundred ninety-two".