314982816 has 96 divisors (see below), whose sum is σ = 870041088. Its totient is φ = 99640320.

The previous prime is 314982799. The next prime is 314982821. The reversal of 314982816 is 618289413.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156730 + ... + 158726.

It is an arithmetic number, because the mean of its divisors is an integer number (9062928).

Almost surely, 2^314982816 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 314982816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435020544).

314982816 is an abundant number, since it is smaller than the sum of its proper divisors (555058272).

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

314982816 is a wasteful number, since it uses less digits than its factorization.

314982816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2086 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 314982816 is about 17747.7552383393. The cubic root of 314982816 is about 680.3968387228.

The spelling of 314982816 in words is "three hundred fourteen million, nine hundred eighty-two thousand, eight hundred sixteen".