314890656720 has 640 divisors, whose sum is σ = 1065531801600. Its totient is φ = 76772966400.

The previous prime is 314890656709. The next prime is 314890656733. The reversal of 314890656720 is 27656098413.

It is a super-3 number, since 3×314890656720³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 127 ways as a sum of consecutive naturals, for example, 1759165591 + ... + 1759165769.

It is an arithmetic number, because the mean of its divisors is an integer number (1664893440).

It is a 1-persistent number, because it is pandigital, but 2⋅314890656720 = 629781313440 is not.

Almost surely, 2^314890656720 is an apocalyptic number.

314890656720 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 314890656720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532765900800).

314890656720 is an abundant number, since it is smaller than the sum of its proper divisors (750641144880).

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

314890656720 is a wasteful number, since it uses less digits than its factorization.

314890656720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 314890656720 in words is "three hundred fourteen billion, eight hundred ninety million, six hundred fifty-six thousand, seven hundred twenty".