312142564560 has 80 divisors (see below), whose sum is σ = 974705132736. Its totient is φ = 82630431744.

The previous prime is 312142564543. The next prime is 312142564571. The reversal of 312142564560 is 65465241213.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×312142564560² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4713814 + ... + 4779573.

Almost surely, 2^312142564560 is an apocalyptic number.

312142564560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312142564560 is an abundant number, since it is smaller than the sum of its proper divisors (662562568176).

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

312142564560 is a wasteful number, since it uses less digits than its factorization.

312142564560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9493540 (or 9493534 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 312142564560 in words is "three hundred twelve billion, one hundred forty-two million, five hundred sixty-four thousand, five hundred sixty".