13389664392 has 256 divisors, whose sum is σ = 41287276800. Its totient is φ = 3994583040.

The previous prime is 13389664373. The next prime is 13389664397. The reversal of 13389664392 is 29346698331.

It is a super-2 number, since 2×13389664392² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13389664397) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20888392 + ... + 20889032.

It is an arithmetic number, because the mean of its divisors is an integer number (161278425).

Almost surely, 2^13389664392 is an apocalyptic number.

13389664392 is a gapful number since it is divisible by the number (12) 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 13389664392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20643638400).

13389664392 is an abundant number, since it is smaller than the sum of its proper divisors (27897612408).

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

13389664392 is a wasteful number, since it uses less digits than its factorization.

13389664392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 875 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The spelling of 13389664392 in words is "thirteen billion, three hundred eighty-nine million, six hundred sixty-four thousand, three hundred ninety-two".