251164996992 has 640 divisors, whose sum is σ = 968442182400. Its totient is φ = 62750453760.

The previous prime is 251164996967. The next prime is 251164996993. The reversal of 251164996992 is 299699461152.

251164996992 is a `hidden beast` number, since 2 + 51 + 1 + 6 + 499 + 6 + 9 + 92 = 666.

251164996992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×251164996992³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251164996993) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 17919267 + ... + 17933277.

It is an arithmetic number, because the mean of its divisors is an integer number (1513190910).

Almost surely, 2^251164996992 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 251164996992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484221091200).

251164996992 is an abundant number, since it is smaller than the sum of its proper divisors (717277185408).

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

251164996992 is a wasteful number, since it uses less digits than its factorization.

251164996992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14076 (or 14055 counting only the distinct ones).

The product of its digits is 18895680, while the sum is 63.

The spelling of 251164996992 in words is "two hundred fifty-one billion, one hundred sixty-four million, nine hundred ninety-six thousand, nine hundred ninety-two".