314768679968736 has 72 divisors (see below), whose sum is σ = 1022998209904944. Its totient is φ = 89933908561920.

The previous prime is 314768679968657. The next prime is 314768679968903. The reversal of 314768679968736 is 637869976867413.

314768679968736 is a `hidden beast` number, since 3 + 1 + 476 + 8 + 6 + 7 + 9 + 9 + 68 + 73 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78067626945 + ... + 78067630976.

It is an arithmetic number, because the mean of its divisors is an integer number (14208308470902).

Almost surely, 2^{314768679968736} is an apocalyptic number.

314768679968736 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

314768679968736 is an abundant number, since it is smaller than the sum of its proper divisors (708229529936208).

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

314768679968736 is a wasteful number, since it uses less digits than its factorization.

314768679968736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156135257944 (or 156135257933 counting only the distinct ones).

The product of its digits is 82959593472, while the sum is 90.

The spelling of 314768679968736 in words is "three hundred fourteen trillion, seven hundred sixty-eight billion, six hundred seventy-nine million, nine hundred sixty-eight thousand, seven hundred thirty-six".