251490514968 has 1152 divisors, whose sum is σ = 968018688000. Its totient is φ = 57407201280.

The previous prime is 251490514943. The next prime is 251490514981. The reversal of 251490514968 is 869415094152.

251490514968 is a `hidden beast` number, since 2 + 5 + 1 + 490 + 5 + 149 + 6 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1263771333 + ... + 1263771531.

It is an arithmetic number, because the mean of its divisors is an integer number (840294000).

Almost surely, 2^251490514968 is an apocalyptic number.

251490514968 is a gapful number since it is divisible by the number (28) 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 251490514968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484009344000).

251490514968 is an abundant number, since it is smaller than the sum of its proper divisors (716528173032).

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

251490514968 is a wasteful number, since it uses less digits than its factorization.

251490514968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 251490514968 in words is "two hundred fifty-one billion, four hundred ninety million, five hundred fourteen thousand, nine hundred sixty-eight".