314131838592 has 512 divisors, whose sum is σ = 1003615764480. Its totient is φ = 85800960000.

The previous prime is 314131838549. The next prime is 314131838623. The reversal of 314131838592 is 295838131413.

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

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, 639779467 + ... + 639779957.

It is an arithmetic number, because the mean of its divisors is an integer number (1960187040).

Almost surely, 2^314131838592 is an apocalyptic number.

314131838592 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 314131838592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501807882240).

314131838592 is an abundant number, since it is smaller than the sum of its proper divisors (689483925888).

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

314131838592 is a wasteful number, since it uses less digits than its factorization.

314131838592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 772 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The spelling of 314131838592 in words is "three hundred fourteen billion, one hundred thirty-one million, eight hundred thirty-eight thousand, five hundred ninety-two".