251845392964 has 27 divisors (see below), whose sum is σ = 484459380223. Its totient is φ = 114470160200.

The previous prime is 251845392949. The next prime is 251845392971. The reversal of 251845392964 is 469293548152.

It is a happy number.

The square root of 251845392964 is 501842.

It is a perfect power (a square), and thus also a powerful number.

251845392964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×251845392964² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 251845392899 and 251845392908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11029119 + ... + 11051929.

Almost surely, 2^251845392964 is an apocalyptic number.

251845392964 is the 501842-nd square number.

It is an amenable number.

251845392964 is a deficient number, since it is larger than the sum of its proper divisors (232613987259).

251845392964 is an frugal number, since it uses more digits than its factorization.

251845392964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45648 (or 22824 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 58.

It can be divided in two parts, 251845 and 392964, that added together give a square (644809 = 803²).

The spelling of 251845392964 in words is "two hundred fifty-one billion, eight hundred forty-five million, three hundred ninety-two thousand, nine hundred sixty-four".