314470808964 has 288 divisors, whose sum is σ = 932543539200. Its totient is φ = 88552949760.

The previous prime is 314470808959. The next prime is 314470808983. The reversal of 314470808964 is 469808074413.

314470808964 is a `hidden beast` number, since 3 + 1 + 4 + 470 + 80 + 8 + 96 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 314470808964.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29692582 + ... + 29703170.

It is an arithmetic number, because the mean of its divisors is an integer number (3237998400).

Almost surely, 2^314470808964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314470808964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466271769600).

314470808964 is an abundant number, since it is smaller than the sum of its proper divisors (618072730236).

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

314470808964 is a wasteful number, since it uses less digits than its factorization.

314470808964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10755 (or 10750 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 314470808964 in words is "three hundred fourteen billion, four hundred seventy million, eight hundred eight thousand, nine hundred sixty-four".