312721624352 has 96 divisors (see below), whose sum is σ = 647088750000. Its totient is φ = 148572942336.

The previous prime is 312721624301. The next prime is 312721624367. The reversal of 312721624352 is 253426127213.

It can be written as a sum of positive squares in 8 ways, for example, as 41243111056 + 271478513296 = 203084^2 + 521036^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 15061274 + ... + 15082022.

Almost surely, 2^312721624352 is an apocalyptic number.

312721624352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312721624352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323544375000).

312721624352 is an abundant number, since it is smaller than the sum of its proper divisors (334367125648).

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

312721624352 is a wasteful number, since it uses less digits than its factorization.

312721624352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21046 (or 21038 counting only the distinct ones).

The product of its digits is 120960, while the sum is 38.

The spelling of 312721624352 in words is "three hundred twelve billion, seven hundred twenty-one million, six hundred twenty-four thousand, three hundred fifty-two".