311616112 has 40 divisors (see below), whose sum is σ = 639678800. Its totient is φ = 146644992.

The previous prime is 311616083. The next prime is 311616139. The reversal of 311616112 is 211616113.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44464 + ... + 50992.

It is an arithmetic number, because the mean of its divisors is an integer number (15991970).

Almost surely, 2^311616112 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 311616112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319839400).

311616112 is an abundant number, since it is smaller than the sum of its proper divisors (328062688).

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

311616112 is a wasteful number, since it uses less digits than its factorization.

311616112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6713 (or 6707 counting only the distinct ones).

The product of its digits is 216, while the sum is 22.

The square root of 311616112 is about 17652.6516988242. The cubic root of 311616112 is about 677.9640023468.

Subtracting from 311616112 its reverse (211616113), we obtain a palindrome (99999999).

It can be divided in two parts, 31161 and 6112, that added together give a palindrome (37273).

The spelling of 311616112 in words is "three hundred eleven million, six hundred sixteen thousand, one hundred twelve".