13309986816 has 216 divisors, whose sum is σ = 44720913510. Its totient is φ = 3802595328.

The previous prime is 13309986793. The next prime is 13309986853. The reversal of 13309986816 is 61868990331.

It can be written as a sum of positive squares in only one way, i.e., 9234441216 + 4075545600 = 96096^2 + 63840^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 895800 + ... + 910536.

Almost surely, 2^13309986816 is an apocalyptic number.

13309986816 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 13309986816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22360456755).

13309986816 is an abundant number, since it is smaller than the sum of its proper divisors (31410926694).

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

13309986816 is a wasteful number, since it uses less digits than its factorization.

13309986816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14779 (or 14749 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 13309986816 in words is "thirteen billion, three hundred nine million, nine hundred eighty-six thousand, eight hundred sixteen".