314345207916 has 120 divisors (see below), whose sum is σ = 825572282304. Its totient is φ = 104296572000.

The previous prime is 314345207909. The next prime is 314345207923. The reversal of 314345207916 is 619702543413.

314345207916 is a `hidden beast` number, since 3 + 1 + 4 + 34 + 520 + 7 + 91 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (314345207909) and next prime (314345207923).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 139645791 + ... + 139648041.

Almost surely, 2^314345207916 is an apocalyptic number.

314345207916 is a gapful number since it is divisible by the number (36) 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 314345207916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412786141152).

314345207916 is an abundant number, since it is smaller than the sum of its proper divisors (511227074388).

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

314345207916 is a wasteful number, since it uses less digits than its factorization.

314345207916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4073 (or 4062 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 314345207916 in words is "three hundred fourteen billion, three hundred forty-five million, two hundred seven thousand, nine hundred sixteen".