311115314930112 has 1008 divisors, whose sum is σ = 1171741935107328. Its totient is φ = 79602511380480.

The previous prime is 311115314930111. The next prime is 311115314930129. The reversal of 311115314930112 is 211039413511113.

311115314930112 is a `hidden beast` number, since 3 + 1 + 1 + 1 + 1 + 53 + 1 + 493 + 0 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311115314930111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2166212928 + ... + 2166356544.

Almost surely, 2^{311115314930112} is an apocalyptic number.

311115314930112 is a gapful number since it is divisible by the number (32) 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 311115314930112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585870967553664).

311115314930112 is an abundant number, since it is smaller than the sum of its proper divisors (860626620177216).

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

311115314930112 is an equidigital number, since it uses as much as digits as its factorization.

311115314930112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143738 (or 143707 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 311115314930112 in words is "three hundred eleven trillion, one hundred fifteen billion, three hundred fourteen million, nine hundred thirty thousand, one hundred twelve".