309981459768 has 128 divisors (see below), whose sum is σ = 842663731200. Its totient is φ = 94662691200.

The previous prime is 309981459709. The next prime is 309981459811. The reversal of 309981459768 is 867954189903.

It is a super-2 number, since 2×309981459768² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21635055 + ... + 21649377.

It is an arithmetic number, because the mean of its divisors is an integer number (6583310400).

Almost surely, 2^309981459768 is an apocalyptic number.

309981459768 is a gapful number since it is divisible by the number (38) 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 309981459768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421331865600).

309981459768 is an abundant number, since it is smaller than the sum of its proper divisors (532682271432).

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

309981459768 is a wasteful number, since it uses less digits than its factorization.

309981459768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15913 (or 15909 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 69.

The spelling of 309981459768 in words is "three hundred nine billion, nine hundred eighty-one million, four hundred fifty-nine thousand, seven hundred sixty-eight".