312313159116000 has 1152 divisors, whose sum is σ = 1310122163331072. Its totient is φ = 68950103040000.

The previous prime is 312313159115999. The next prime is 312313159116037. The reversal of 312313159116000 is 611951313213.

312313159116000 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 1 + 3 + 1 + 591 + 1 + 60 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4085637780 + ... + 4085714220.

It is an arithmetic number, because the mean of its divisors is an integer number (1137258822336).

Almost surely, 2^{312313159116000} is an apocalyptic number.

312313159116000 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 312313159116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655061081665536).

312313159116000 is an abundant number, since it is smaller than the sum of its proper divisors (997809004215072).

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

312313159116000 is a wasteful number, since it uses less digits than its factorization.

312313159116000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77033 (or 77012 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 312313159116000 in words is "three hundred twelve trillion, three hundred thirteen billion, one hundred fifty-nine million, one hundred sixteen thousand".