314884488960 has 864 divisors, whose sum is σ = 1217815200000. Its totient is φ = 76829368320.

The previous prime is 314884488943. The next prime is 314884488977. The reversal of 314884488960 is 69884488413.

314884488960 is a `hidden beast` number, since 3 + 14 + 8 + 84 + 488 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (314884488943) and next prime (314884488977).

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 631030791 + ... + 631031289.

Almost surely, 2^314884488960 is an apocalyptic number.

314884488960 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 314884488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608907600000).

314884488960 is an abundant number, since it is smaller than the sum of its proper divisors (902930711040).

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

314884488960 is a wasteful number, since it uses less digits than its factorization.

314884488960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 314884488960 in words is "three hundred fourteen billion, eight hundred eighty-four million, four hundred eighty-eight thousand, nine hundred sixty".