312311813216520 has 256 divisors, whose sum is σ = 1032669658056960. Its totient is φ = 75074597240832.

The previous prime is 312311813216489. The next prime is 312311813216569. The reversal of 312311813216520 is 25612318113213.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 353271364 + ... + 354154316.

It is an arithmetic number, because the mean of its divisors is an integer number (4033865851785).

Almost surely, 2^{312311813216520} is an apocalyptic number.

312311813216520 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 312311813216520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516334829028480).

312311813216520 is an abundant number, since it is smaller than the sum of its proper divisors (720357844840440).

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

312311813216520 is a wasteful number, since it uses less digits than its factorization.

312311813216520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888296 (or 888292 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 312311813216520 in words is "three hundred twelve trillion, three hundred eleven billion, eight hundred thirteen million, two hundred sixteen thousand, five hundred twenty".