312135860628 has 72 divisors (see below), whose sum is σ = 806228422272. Its totient is φ = 101777106432.

The previous prime is 312135860557. The next prime is 312135860651. The reversal of 312135860628 is 826068531213.

312135860628 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 3 + 586 + 0 + 62 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3178276 + ... + 3275012.

It is an arithmetic number, because the mean of its divisors is an integer number (11197616976).

Almost surely, 2^312135860628 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 312135860628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403114211136).

312135860628 is an abundant number, since it is smaller than the sum of its proper divisors (494092561644).

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

312135860628 is a wasteful number, since it uses less digits than its factorization.

312135860628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98701 (or 98696 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 312135860628 in words is "three hundred twelve billion, one hundred thirty-five million, eight hundred sixty thousand, six hundred twenty-eight".