13924428336 has 320 divisors, whose sum is σ = 49596825600. Its totient is φ = 3642153984.

The previous prime is 13924428299. The next prime is 13924428359. The reversal of 13924428336 is 63382442931.

13924428336 is a `hidden beast` number, since 13 + 92 + 442 + 83 + 36 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13924428291 and 13924428300.

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, 4991230 + ... + 4994018.

It is an arithmetic number, because the mean of its divisors is an integer number (154990080).

Almost surely, 2^13924428336 is an apocalyptic number.

13924428336 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 13924428336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24798412800).

13924428336 is an abundant number, since it is smaller than the sum of its proper divisors (35672397264).

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

13924428336 is a wasteful number, since it uses less digits than its factorization.

13924428336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2953 (or 2941 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The spelling of 13924428336 in words is "thirteen billion, nine hundred twenty-four million, four hundred twenty-eight thousand, three hundred thirty-six".