252899646336 has 160 divisors (see below), whose sum is σ = 753064408800. Its totient is φ = 84250699776.

The previous prime is 252899646323. The next prime is 252899646343. The reversal of 252899646336 is 633646998252.

252899646336 is a `hidden beast` number, since 2 + 5 + 2 + 89 + 96 + 463 + 3 + 6 = 666.

It is a super-2 number, since 2×252899646336² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20657305 + ... + 20669543.

It is an arithmetic number, because the mean of its divisors is an integer number (4706652555).

Almost surely, 2^252899646336 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 252899646336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376532204400).

252899646336 is an abundant number, since it is smaller than the sum of its proper divisors (500164762464).

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

252899646336 is a wasteful number, since it uses less digits than its factorization.

252899646336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14258 (or 14237 counting only the distinct ones).

The product of its digits is 100776960, while the sum is 63.

The spelling of 252899646336 in words is "two hundred fifty-two billion, eight hundred ninety-nine million, six hundred forty-six thousand, three hundred thirty-six".