314468955360 has 288 divisors, whose sum is σ = 1254952258560. Its totient is φ = 70206925824.

The previous prime is 314468955341. The next prime is 314468955373. The reversal of 314468955360 is 63559864413.

314468955360 is a `hidden beast` number, since 3 + 1 + 4 + 4 + 6 + 89 + 553 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 314468955297 and 314468955306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70681 + ... + 796199.

It is an arithmetic number, because the mean of its divisors is an integer number (4357473120).

Almost surely, 2^314468955360 is an apocalyptic number.

314468955360 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 314468955360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627476129280).

314468955360 is an abundant number, since it is smaller than the sum of its proper divisors (940483303200).

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

314468955360 is a wasteful number, since it uses less digits than its factorization.

314468955360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725590 (or 725579 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 314468955360 in words is "three hundred fourteen billion, four hundred sixty-eight million, nine hundred fifty-five thousand, three hundred sixty".