314618112 has 108 divisors (see below), whose sum is σ = 954997680. Its totient is φ = 99339264.

The previous prime is 314618107. The next prime is 314618137. The reversal of 314618112 is 211816413.

It is a happy number.

314618112 is a `hidden beast` number, since 31 + 4 + 618 + 1 + 12 = 666.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40183 + ... + 47369.

Almost surely, 2^314618112 is an apocalyptic number.

314618112 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 314618112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477498840).

314618112 is an abundant number, since it is smaller than the sum of its proper divisors (640379568).

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

314618112 is a wasteful number, since it uses less digits than its factorization.

314618112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7228 (or 7211 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 314618112 is about 17737.4776109795. The cubic root of 314618112 is about 680.1341373214.

The spelling of 314618112 in words is "three hundred fourteen million, six hundred eighteen thousand, one hundred twelve".