314979065856 has 448 divisors, whose sum is σ = 1148644896000. Its totient is φ = 83066093568.

The previous prime is 314979065851. The next prime is 314979065861. The reversal of 314979065856 is 658560979413.

314979065856 is a `hidden beast` number, since 3 + 1 + 49 + 7 + 9 + 0 + 6 + 585 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (314979065851) and next prime (314979065861).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 314979065793 and 314979065802.

It is not an unprimeable number, because it can be changed into a prime (314979065851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20119920 + ... + 20135568.

It is an arithmetic number, because the mean of its divisors is an integer number (2563939500).

Almost surely, 2^314979065856 is an apocalyptic number.

314979065856 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 314979065856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574322448000).

314979065856 is an abundant number, since it is smaller than the sum of its proper divisors (833665830144).

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

314979065856 is a wasteful number, since it uses less digits than its factorization.

314979065856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15704 (or 15674 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 314979065856 in words is "three hundred fourteen billion, nine hundred seventy-nine million, sixty-five thousand, eight hundred fifty-six".