314094912 has 56 divisors (see below), whose sum is σ = 842784192. Its totient is φ = 103219200.

The previous prime is 314094889. The next prime is 314094929. The reversal of 314094912 is 219490413.

It is a super-2 number, since 2×314094912² = 197311227488575488, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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, 2112 + ... + 25152.

Almost surely, 2^314094912 is an apocalyptic number.

314094912 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 314094912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421392096).

314094912 is an abundant number, since it is smaller than the sum of its proper divisors (528689280).

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

314094912 is a wasteful number, since it uses less digits than its factorization.

314094912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23127 (or 23117 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 314094912 is about 17722.7230413388. The cubic root of 314094912 is about 679.7569142657.

The spelling of 314094912 in words is "three hundred fourteen million, ninety-four thousand, nine hundred twelve".