314853702912 has 360 divisors, whose sum is σ = 1093227480576. Its totient is φ = 88258719744.

The previous prime is 314853702883. The next prime is 314853703061. The reversal of 314853702912 is 219207358413.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7672593 + ... + 7713519.

Almost surely, 2^314853702912 is an apocalyptic number.

314853702912 is a gapful number since it is divisible by the number (32) 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 314853702912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546613740288).

314853702912 is an abundant number, since it is smaller than the sum of its proper divisors (778373777664).

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

314853702912 is an equidigital number, since it uses as much as digits as its factorization.

314853702912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41015 (or 40992 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 314853702912 in words is "three hundred fourteen billion, eight hundred fifty-three million, seven hundred two thousand, nine hundred twelve".