312561462528 has 540 divisors, whose sum is σ = 1131637887072. Its totient is φ = 84038860800.

The previous prime is 312561462431. The next prime is 312561462547. The reversal of 312561462528 is 825264165213.

312561462528 is a `hidden beast` number, since 3 + 1 + 2 + 5 + 6 + 14 + 625 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 41945203 + ... + 41952653.

Almost surely, 2^312561462528 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 312561462528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565818943536).

312561462528 is an abundant number, since it is smaller than the sum of its proper divisors (819076424544).

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

312561462528 is an equidigital number, since it uses as much as digits as its factorization.

312561462528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7520 (or 7480 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 312561462528 in words is "three hundred twelve billion, five hundred sixty-one million, four hundred sixty-two thousand, five hundred twenty-eight".