251453968128 has 432 divisors, whose sum is σ = 803858694912. Its totient is φ = 75587635200.

The previous prime is 251453968111. The next prime is 251453968153. The reversal of 251453968128 is 821869354152.

251453968128 is a `hidden beast` number, since 2 + 5 + 1 + 4 + 539 + 6 + 81 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

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, 512125963 + ... + 512126453.

It is an arithmetic number, because the mean of its divisors is an integer number (1860784016).

Almost surely, 2^251453968128 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 251453968128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401929347456).

251453968128 is an abundant number, since it is smaller than the sum of its proper divisors (552404726784).

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

251453968128 is a wasteful number, since it uses less digits than its factorization.

251453968128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 674 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The spelling of 251453968128 in words is "two hundred fifty-one billion, four hundred fifty-three million, nine hundred sixty-eight thousand, one hundred twenty-eight".