252206038944 has 36 divisors (see below), whose sum is σ = 717210924066. Its totient is φ = 84068679552.

The previous prime is 252206038943. The next prime is 252206038957. The reversal of 252206038944 is 449830602252.

252206038944 is a `hidden beast` number, since 2 + 5 + 220 + 6 + 0 + 389 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 153366224400 + 98839814544 = 391620^2 + 314388^2 .

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 252206038944.

It is not an unprimeable number, because it can be changed into a prime (252206038943) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 437857419 + ... + 437857994.

Almost surely, 2^252206038944 is an apocalyptic number.

252206038944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252206038944 is an abundant number, since it is smaller than the sum of its proper divisors (465004885122).

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

252206038944 is a wasteful number, since it uses less digits than its factorization.

252206038944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875715429 (or 875715418 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 252206038944 in words is "two hundred fifty-two billion, two hundred six million, thirty-eight thousand, nine hundred forty-four".