312564865800 has 192 divisors, whose sum is σ = 1059569683200. Its totient is φ = 75591788800.

The previous prime is 312564865793. The next prime is 312564865807. The reversal of 312564865800 is 8568465213.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (312564865793) and next prime (312564865807).

It is a self number, because there is not a number n which added to its sum of digits gives 312564865800.

It is not an unprimeable number, because it can be changed into a prime (312564865807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2708887 + ... + 2821913.

It is an arithmetic number, because the mean of its divisors is an integer number (5518592100).

Almost surely, 2^312564865800 is an apocalyptic number.

312564865800 is a gapful number since it is divisible by the number (30) 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 312564865800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529784841600).

312564865800 is an abundant number, since it is smaller than the sum of its proper divisors (747004817400).

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

312564865800 is a wasteful number, since it uses less digits than its factorization.

312564865800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113476 (or 113467 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 312564865800 in words is "three hundred twelve billion, five hundred sixty-four million, eight hundred sixty-five thousand, eight hundred".