314459097696 has 384 divisors, whose sum is σ = 962314214400. Its totient is φ = 99818127360.

The previous prime is 314459097527. The next prime is 314459097737. The reversal of 314459097696 is 696790954413.

314459097696 is a `hidden beast` number, since 3 + 1 + 4 + 459 + 0 + 97 + 6 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 255865210 + ... + 255866438.

It is an arithmetic number, because the mean of its divisors is an integer number (2506026600).

Almost surely, 2^314459097696 is an apocalyptic number.

314459097696 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 314459097696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481157107200).

314459097696 is an abundant number, since it is smaller than the sum of its proper divisors (647855116704).

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

314459097696 is a wasteful number, since it uses less digits than its factorization.

314459097696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 314459097696 in words is "three hundred fourteen billion, four hundred fifty-nine million, ninety-seven thousand, six hundred ninety-six".