251400042164 has 48 divisors (see below), whose sum is σ = 446149704000. Its totient is φ = 123939486720.

The previous prime is 251400042119. The next prime is 251400042233. The reversal of 251400042164 is 461240004152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167711087 + ... + 167712585.

It is an arithmetic number, because the mean of its divisors is an integer number (9294785500).

Almost surely, 2^251400042164 is an apocalyptic number.

It is an amenable number.

251400042164 is a deficient number, since it is larger than the sum of its proper divisors (194749661836).

251400042164 is a wasteful number, since it uses less digits than its factorization.

251400042164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2928 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The spelling of 251400042164 in words is "two hundred fifty-one billion, four hundred million, forty-two thousand, one hundred sixty-four".