13239930816 has 672 divisors, whose sum is σ = 48905525760. Its totient is φ = 3466727424.

The previous prime is 13239930727. The next prime is 13239930827. The reversal of 13239930816 is 61803993231.

13239930816 is a `hidden beast` number, since 1 + 323 + 9 + 9 + 308 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76531306 + ... + 76531478.

It is an arithmetic number, because the mean of its divisors is an integer number (72776080).

Almost surely, 2^13239930816 is an apocalyptic number.

13239930816 is a gapful number since it is divisible by the number (16) 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 13239930816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24452762880).

13239930816 is an abundant number, since it is smaller than the sum of its proper divisors (35665594944).

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

13239930816 is a wasteful number, since it uses less digits than its factorization.

13239930816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 13239930816 in words is "thirteen billion, two hundred thirty-nine million, nine hundred thirty thousand, eight hundred sixteen".