251441968048 has 160 divisors (see below), whose sum is σ = 536353171200. Its totient is φ = 113774284800.

The previous prime is 251441968031. The next prime is 251441968061. The reversal of 251441968048 is 840869144152.

It is a junction number, because it is equal to n+sod(n) for n = 251441967986 and 251441968004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243408940 + ... + 243409972.

It is an arithmetic number, because the mean of its divisors is an integer number (3352207320).

Almost surely, 2^251441968048 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 251441968048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268176585600).

251441968048 is an abundant number, since it is smaller than the sum of its proper divisors (284911203152).

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

251441968048 is a wasteful number, since it uses less digits than its factorization.

251441968048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 52.

The spelling of 251441968048 in words is "two hundred fifty-one billion, four hundred forty-one million, nine hundred sixty-eight thousand, forty-eight".