314375534337664 has 128 divisors (see below), whose sum is σ = 663319286254800. Its totient is φ = 148189861478400.

The previous prime is 314375534337659. The next prime is 314375534337671. The reversal of 314375534337664 is 466733435573413.

It can be written as a sum of positive squares in 8 ways, for example, as 150749480448064 + 163626053889600 = 12278008^2 + 12791640^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 314375534337596 and 314375534337605.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25954074 + ... + 36088294.

Almost surely, 2^{314375534337664} 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 314375534337664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331659643127400).

314375534337664 is an abundant number, since it is smaller than the sum of its proper divisors (348943751917136).

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

314375534337664 is a wasteful number, since it uses less digits than its factorization.

314375534337664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10134462 (or 10134450 counting only the distinct ones).

The product of its digits is 685843200, while the sum is 64.

The spelling of 314375534337664 in words is "three hundred fourteen trillion, three hundred seventy-five billion, five hundred thirty-four million, three hundred thirty-seven thousand, six hundred sixty-four".