252667728144 has 120 divisors (see below), whose sum is σ = 773996619032. Its totient is φ = 76469391360.

The previous prime is 252667728067. The next prime is 252667728169. The reversal of 252667728144 is 441827766252.

252667728144 is a `hidden beast` number, since 2 + 526 + 6 + 7 + 72 + 8 + 1 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14414403600 + 238253324544 = 120060^2 + 488112^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 992137 + ... + 1220520.

Almost surely, 2^252667728144 is an apocalyptic number.

252667728144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252667728144 is an abundant number, since it is smaller than the sum of its proper divisors (521328890888).

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

252667728144 is a wasteful number, since it uses less digits than its factorization.

252667728144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212745 (or 2212736 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 252667728144 in words is "two hundred fifty-two billion, six hundred sixty-seven million, seven hundred twenty-eight thousand, one hundred forty-four".