251864468152 has 16 divisors (see below), whose sum is σ = 515177321400. Its totient is φ = 114483849120.

The previous prime is 251864468129. The next prime is 251864468161.

251864468152 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 251864468152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1431048027 + ... + 1431048202.

Almost surely, 2^251864468152 is an apocalyptic number.

251864468152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

251864468152 is an abundant number, since it is smaller than the sum of its proper divisors (263312853248).

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

251864468152 is a wasteful number, since it uses less digits than its factorization.

251864468152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2862096246 (or 2862096242 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 52.

The spelling of 251864468152 in words is "two hundred fifty-one billion, eight hundred sixty-four million, four hundred sixty-eight thousand, one hundred fifty-two".