314164916736 has 320 divisors, whose sum is σ = 932162052096. Its totient is φ = 93225369600.

The previous prime is 314164916717. The next prime is 314164916749. The reversal of 314164916736 is 637619461413.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216217386 + ... + 216218838.

Almost surely, 2^314164916736 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 314164916736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466081026048).

314164916736 is an abundant number, since it is smaller than the sum of its proper divisors (617997135360).

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

314164916736 is a wasteful number, since it uses less digits than its factorization.

314164916736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743 (or 1727 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 51.

The spelling of 314164916736 in words is "three hundred fourteen billion, one hundred sixty-four million, nine hundred sixteen thousand, seven hundred thirty-six".