252649752735744 has 2912 divisors, whose sum is σ = 968761724657664. Its totient is φ = 64084471971840.

The previous prime is 252649752735719. The next prime is 252649752735767. The reversal of 252649752735744 is 447537257946252.

252649752735744 is a `hidden beast` number, since 2 + 5 + 2 + 6 + 4 + 9 + 7 + 527 + 3 + 57 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (2912).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 932286910329 + ... + 932286910599.

Almost surely, 2^{252649752735744} is an apocalyptic number.

252649752735744 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 252649752735744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484380862328832).

252649752735744 is an abundant number, since it is smaller than the sum of its proper divisors (716111971921920).

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

252649752735744 is an equidigital number, since it uses as much as digits as its factorization.

252649752735744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 416 counting only the distinct ones).

The product of its digits is 3556224000, while the sum is 72.

The spelling of 252649752735744 in words is "two hundred fifty-two trillion, six hundred forty-nine billion, seven hundred fifty-two million, seven hundred thirty-five thousand, seven hundred forty-four".