314546016960 has 560 divisors, whose sum is σ = 1353970880064. Its totient is φ = 67666378752.

The previous prime is 314546016913. The next prime is 314546017003. The reversal of 314546016960 is 69610645413.

314546016960 is a `hidden beast` number, since 3 + 1 + 4 + 546 + 0 + 16 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3033492 + ... + 3135468.

Almost surely, 2^314546016960 is an apocalyptic number.

314546016960 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 314546016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676985440032).

314546016960 is an abundant number, since it is smaller than the sum of its proper divisors (1039424863104).

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

314546016960 is a wasteful number, since it uses less digits than its factorization.

314546016960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102030 (or 102011 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 314546016960 in words is "three hundred fourteen billion, five hundred forty-six million, sixteen thousand, nine hundred sixty".