314367193920 has 112 divisors (see below), whose sum is σ = 1074894024960. Its totient is φ = 77382690816.

The previous prime is 314367193901. The next prime is 314367193963. The reversal of 314367193920 is 29391763413.

It is a super-2 number, since 2×314367193920² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 314367193920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12582360 + ... + 12607319.

It is an arithmetic number, because the mean of its divisors is an integer number (9597268080).

Almost surely, 2^314367193920 is an apocalyptic number.

314367193920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314367193920 is an abundant number, since it is smaller than the sum of its proper divisors (760526831040).

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

314367193920 is a wasteful number, since it uses less digits than its factorization.

314367193920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25189712 (or 25189702 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 48.

The spelling of 314367193920 in words is "three hundred fourteen billion, three hundred sixty-seven million, one hundred ninety-three thousand, nine hundred twenty".