314869297920 has 288 divisors, whose sum is σ = 1032165711360. Its totient is φ = 81776640000.

The previous prime is 314869297889. The next prime is 314869297969. The reversal of 314869297920 is 29792968413.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22891045 + ... + 22904795.

It is an arithmetic number, because the mean of its divisors is an integer number (3583908720).

Almost surely, 2^314869297920 is an apocalyptic number.

314869297920 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 314869297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516082855680).

314869297920 is an abundant number, since it is smaller than the sum of its proper divisors (717296413440).

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

314869297920 is a wasteful number, since it uses less digits than its factorization.

314869297920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13931 (or 13917 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 60.

The spelling of 314869297920 in words is "three hundred fourteen billion, eight hundred sixty-nine million, two hundred ninety-seven thousand, nine hundred twenty".