312583706820 has 864 divisors, whose sum is σ = 1228738387968. Its totient is φ = 62935488000.

The previous prime is 312583706801. The next prime is 312583706863. The reversal of 312583706820 is 28607385213.

312583706820 is a `hidden beast` number, since 3 + 1 + 2 + 583 + 7 + 0 + 68 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 725252005 + ... + 725252435.

It is an arithmetic number, because the mean of its divisors is an integer number (1422150912).

Almost surely, 2^312583706820 is an apocalyptic number.

312583706820 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 312583706820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614369193984).

312583706820 is an abundant number, since it is smaller than the sum of its proper divisors (916154681148).

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

312583706820 is a wasteful number, since it uses less digits than its factorization.

312583706820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 312583706820 in words is "three hundred twelve billion, five hundred eighty-three million, seven hundred six thousand, eight hundred twenty".