251463647232 has 540 divisors, whose sum is σ = 877006133640. Its totient is φ = 71791017984.

The previous prime is 251463647191. The next prime is 251463647261. The reversal of 251463647232 is 232746364152.

251463647232 is a `hidden beast` number, since 2 + 5 + 1 + 4 + 636 + 4 + 7 + 2 + 3 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 195083644 + ... + 195084932.

Almost surely, 2^251463647232 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 251463647232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438503066820).

251463647232 is an abundant number, since it is smaller than the sum of its proper divisors (625542486408).

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

251463647232 is an frugal number, since it uses more digits than its factorization.

251463647232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1301 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The spelling of 251463647232 in words is "two hundred fifty-one billion, four hundred sixty-three million, six hundred forty-seven thousand, two hundred thirty-two".