314139396000 has 384 divisors, whose sum is σ = 1102845010176. Its totient is φ = 77888716800.

The previous prime is 314139395971. The next prime is 314139396041. The reversal of 314139396000 is 693931413.

It is a self number, because there is not a number n which added to its sum of digits gives 314139396000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16922724 + ... + 16941276.

It is an arithmetic number, because the mean of its divisors is an integer number (2871992214).

Almost surely, 2^314139396000 is an apocalyptic number.

314139396000 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 314139396000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551422505088).

314139396000 is an abundant number, since it is smaller than the sum of its proper divisors (788705614176).

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

314139396000 is a wasteful number, since it uses less digits than its factorization.

314139396000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18681 (or 18663 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 39.

The spelling of 314139396000 in words is "three hundred fourteen billion, one hundred thirty-nine million, three hundred ninety-six thousand".