252964882944 has 480 divisors, whose sum is σ = 797153550336. Its totient is φ = 76918947840.

The previous prime is 252964882883. The next prime is 252964882949. The reversal of 252964882944 is 449288469252.

252964882944 is a `hidden beast` number, since 2 + 5 + 2 + 96 + 488 + 29 + 44 = 666.

252964882944 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (252964882949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 467587314 + ... + 467587854.

Almost surely, 2^252964882944 is an apocalyptic number.

252964882944 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 252964882944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398576775168).

252964882944 is an abundant number, since it is smaller than the sum of its proper divisors (544188667392).

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

252964882944 is a wasteful number, since it uses less digits than its factorization.

252964882944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 737 counting only the distinct ones).

The product of its digits is 79626240, while the sum is 63.

The spelling of 252964882944 in words is "two hundred fifty-two billion, nine hundred sixty-four million, eight hundred eighty-two thousand, nine hundred forty-four".