314338328964 has 192 divisors, whose sum is σ = 929071503360. Its totient is φ = 90977040000.

The previous prime is 314338328923. The next prime is 314338328977. The reversal of 314338328964 is 469823833413.

It is a super-3 number, since 3×314338328964³ (a number of 35 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 314338328964.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19145919 + ... + 19162329.

It is an arithmetic number, because the mean of its divisors is an integer number (4838914080).

Almost surely, 2^314338328964 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 314338328964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464535751680).

314338328964 is an abundant number, since it is smaller than the sum of its proper divisors (614733174396).

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

314338328964 is a wasteful number, since it uses less digits than its factorization.

314338328964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17159 (or 17151 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 314338328964 in words is "three hundred fourteen billion, three hundred thirty-eight million, three hundred twenty-eight thousand, nine hundred sixty-four".