314237728896 has 1024 divisors, whose sum is σ = 1150881177600. Its totient is φ = 73574645760.

The previous prime is 314237728877. The next prime is 314237728927. The reversal of 314237728896 is 698827732413.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1489278231 + ... + 1489278441.

It is an arithmetic number, because the mean of its divisors is an integer number (1123907400).

Almost surely, 2^314237728896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314237728896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575440588800).

314237728896 is an abundant number, since it is smaller than the sum of its proper divisors (836643448704).

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

314237728896 is a wasteful number, since it uses less digits than its factorization.

314237728896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 385 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 60.

The spelling of 314237728896 in words is "three hundred fourteen billion, two hundred thirty-seven million, seven hundred twenty-eight thousand, eight hundred ninety-six".