312713708269536 has 1296 divisors, whose sum is σ = 1134481278962304. Its totient is φ = 84427164670464.

The previous prime is 312713708269511. The next prime is 312713708269583. The reversal of 312713708269536 is 635962807317213.

312713708269536 is a `hidden beast` number, since 3 + 1 + 2 + 7 + 1 + 3 + 70 + 8 + 26 + 9 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 19639112071 + ... + 19639127993.

It is an arithmetic number, because the mean of its divisors is an integer number (875371357224).

Almost surely, 2^{312713708269536} is an apocalyptic number.

312713708269536 is a gapful number since it is divisible by the number (36) 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 312713708269536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567240639481152).

312713708269536 is an abundant number, since it is smaller than the sum of its proper divisors (821767570692768).

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

312713708269536 is an equidigital number, since it uses as much as digits as its factorization.

312713708269536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16077 (or 16041 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 312713708269536 in words is "three hundred twelve trillion, seven hundred thirteen billion, seven hundred eight million, two hundred sixty-nine thousand, five hundred thirty-six".