13399862784 has 640 divisors, whose sum is σ = 48082636800. Its totient is φ = 3211591680.

The previous prime is 13399862779. The next prime is 13399862797. The reversal of 13399862784 is 48726899331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 150560212 + ... + 150560300.

It is an arithmetic number, because the mean of its divisors is an integer number (75129120).

Almost surely, 2^13399862784 is an apocalyptic number.

13399862784 is a gapful number since it is divisible by the number (14) 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 13399862784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24041318400).

13399862784 is an abundant number, since it is smaller than the sum of its proper divisors (34682774016).

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

13399862784 is a wasteful number, since it uses less digits than its factorization.

13399862784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 198 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 60.

The spelling of 13399862784 in words is "thirteen billion, three hundred ninety-nine million, eight hundred sixty-two thousand, seven hundred eighty-four".