251338316416 has 64 divisors (see below), whose sum is σ = 578363794560. Its totient is φ = 107524403200.

The previous prime is 251338316381. The next prime is 251338316419. The reversal of 251338316416 is 614613833152.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (251338316419) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5226280 + ... + 5274151.

It is an arithmetic number, because the mean of its divisors is an integer number (9036934290).

Almost surely, 2^251338316416 is an apocalyptic number.

It is an amenable number.

251338316416 is an abundant number, since it is smaller than the sum of its proper divisors (327025478144).

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

251338316416 is a wasteful number, since it uses less digits than its factorization.

251338316416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10500473 (or 10500461 counting only the distinct ones).

The product of its digits is 311040, while the sum is 43.

The spelling of 251338316416 in words is "two hundred fifty-one billion, three hundred thirty-eight million, three hundred sixteen thousand, four hundred sixteen".