314713368700320 has 192 divisors, whose sum is σ = 1003534975779840. Its totient is φ = 82895187836928.

The previous prime is 314713368700277. The next prime is 314713368700327. The reversal of 314713368700320 is 23007863317413.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 314713368700320.

It is not an unprimeable number, because it can be changed into a prime (314713368700327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17059249 + ... + 30338831.

It is an arithmetic number, because the mean of its divisors is an integer number (5226744665520).

Almost surely, 2^{314713368700320} is an apocalyptic number.

314713368700320 is a gapful number since it is divisible by the number (30) 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 314713368700320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501767487889920).

314713368700320 is an abundant number, since it is smaller than the sum of its proper divisors (688821607079520).

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

314713368700320 is a wasteful number, since it uses less digits than its factorization.

314713368700320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13280207 (or 13280199 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 48.

The spelling of 314713368700320 in words is "three hundred fourteen trillion, seven hundred thirteen billion, three hundred sixty-eight million, seven hundred thousand, three hundred twenty".