312083636480 has 576 divisors, whose sum is σ = 1004114313216. Its totient is φ = 90021888000.

The previous prime is 312083636477. The next prime is 312083636497. The reversal of 312083636480 is 84636380213.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70271060 + ... + 70275500.

It is an arithmetic number, because the mean of its divisors is an integer number (1743254016).

Almost surely, 2^312083636480 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 312083636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502057156608).

312083636480 is an abundant number, since it is smaller than the sum of its proper divisors (692030676736).

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

312083636480 is a wasteful number, since it uses less digits than its factorization.

312083636480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4534 (or 4520 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 44.

The spelling of 312083636480 in words is "three hundred twelve billion, eighty-three million, six hundred thirty-six thousand, four hundred eighty".