252134472384 has 280 divisors, whose sum is σ = 792310226400. Its totient is φ = 79007145984.

The previous prime is 252134472323. The next prime is 252134472431. The reversal of 252134472384 is 483274431252.

252134472384 is a `hidden beast` number, since 2 + 521 + 3 + 4 + 47 + 2 + 3 + 84 = 666.

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, 136509349 + ... + 136511195.

It is an arithmetic number, because the mean of its divisors is an integer number (2829679380).

Almost surely, 2^252134472384 is an apocalyptic number.

252134472384 is a gapful number since it is divisible by the number (24) 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 252134472384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396155113200).

252134472384 is an abundant number, since it is smaller than the sum of its proper divisors (540175754016).

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

252134472384 is a wasteful number, since it uses less digits than its factorization.

252134472384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3437 (or 3418 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The spelling of 252134472384 in words is "two hundred fifty-two billion, one hundred thirty-four million, four hundred seventy-two thousand, three hundred eighty-four".