311701884704112 has 320 divisors, whose sum is σ = 973921950720000. Its totient is φ = 83916163482624.

The previous prime is 311701884704071. The next prime is 311701884704137. The reversal of 311701884704112 is 211407488107113.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1436974639 + ... + 1437191537.

It is an arithmetic number, because the mean of its divisors is an integer number (3043506096000).

Almost surely, 2^{311701884704112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311701884704112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486960975360000).

311701884704112 is an abundant number, since it is smaller than the sum of its proper divisors (662220066015888).

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

311701884704112 is a wasteful number, since it uses less digits than its factorization.

311701884704112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218148 (or 218142 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 48.

The spelling of 311701884704112 in words is "three hundred eleven trillion, seven hundred one billion, eight hundred eighty-four million, seven hundred four thousand, one hundred twelve".