309983034816 has 504 divisors, whose sum is σ = 1149026895744. Its totient is φ = 79113646080.

The previous prime is 309983034791. The next prime is 309983034817. The reversal of 309983034816 is 618430389903.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (309983034817) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11360646 + ... + 11387898.

Almost surely, 2^309983034816 is an apocalyptic number.

309983034816 is a gapful number since it is divisible by the number (36) 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 309983034816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574513447872).

309983034816 is an abundant number, since it is smaller than the sum of its proper divisors (839043860928).

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

309983034816 is a wasteful number, since it uses less digits than its factorization.

309983034816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27329 (or 27309 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 309983034816 in words is "three hundred nine billion, nine hundred eighty-three million, thirty-four thousand, eight hundred sixteen".