314432616960 has 1600 divisors, whose sum is σ = 1437388001280. Its totient is φ = 63793889280.

The previous prime is 314432616931. The next prime is 314432616973. The reversal of 314432616960 is 69616234413.

314432616960 is a `hidden beast` number, since 31 + 443 + 2 + 61 + 69 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 750435631 + ... + 750436049.

Almost surely, 2^314432616960 is an apocalyptic number.

314432616960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314432616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718694000640).

314432616960 is an abundant number, since it is smaller than the sum of its proper divisors (1122955384320).

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

314432616960 is a wasteful number, since it uses less digits than its factorization.

314432616960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 314432616960 in words is "three hundred fourteen billion, four hundred thirty-two million, six hundred sixteen thousand, nine hundred sixty".