314607186768 has 480 divisors, whose sum is σ = 1053048314880. Its totient is φ = 80309698560.

The previous prime is 314607186767. The next prime is 314607186769. The reversal of 314607186768 is 867681706413.

It is an interprime number because it is at equal distance from previous prime (314607186767) and next prime (314607186769).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314607186767) 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 95 ways as a sum of consecutive naturals, for example, 65691318 + ... + 65696106.

It is an arithmetic number, because the mean of its divisors is an integer number (2193850656).

Almost surely, 2^314607186768 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 314607186768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526524157440).

314607186768 is an abundant number, since it is smaller than the sum of its proper divisors (738441128112).

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

314607186768 is a wasteful number, since it uses less digits than its factorization.

314607186768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4915 (or 4902 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 314607186768 in words is "three hundred fourteen billion, six hundred seven million, one hundred eighty-six thousand, seven hundred sixty-eight".