252254318905008 has 180 divisors, whose sum is σ = 821253748056768. Its totient is φ = 72069770868480.

The previous prime is 252254318904989. The next prime is 252254318905033. The reversal of 252254318905008 is 800509813452252.

252254318905008 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 5 + 43 + 1 + 8 + 90 + 500 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 178327393 + ... + 179736383.

Almost surely, 2^{252254318905008} is an apocalyptic number.

252254318905008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

252254318905008 is an abundant number, since it is smaller than the sum of its proper divisors (568999429151760).

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

252254318905008 is a wasteful number, since it uses less digits than its factorization.

252254318905008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434392 (or 1434376 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 252254318905008 in words is "two hundred fifty-two trillion, two hundred fifty-four billion, three hundred eighteen million, nine hundred five thousand, eight".