314897720256 has 784 divisors, whose sum is σ = 1164146780160. Its totient is φ = 82435553280.

The previous prime is 314897720251. The next prime is 314897720261. The reversal of 314897720256 is 652027798413.

It is a happy number.

314897720256 is a `hidden beast` number, since 314 + 8 + 9 + 7 + 72 + 0 + 256 = 666.

It is an interprime number because it is at equal distance from previous prime (314897720251) and next prime (314897720261).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314897720251) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 192361870 + ... + 192363506.

It is a 1-persistent number, because it is pandigital, but 2⋅314897720256 = 629795440512 is not.

Almost surely, 2^314897720256 is an apocalyptic number.

314897720256 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 314897720256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582073390080).

314897720256 is an abundant number, since it is smaller than the sum of its proper divisors (849249059904).

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

314897720256 is a wasteful number, since it uses less digits than its factorization.

314897720256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 314897720256 in words is "three hundred fourteen billion, eight hundred ninety-seven million, seven hundred twenty thousand, two hundred fifty-six".