13563382338 has 32 divisors (see below), whose sum is σ = 32880928320. Its totient is φ = 4110115680.

The previous prime is 13563382321. The next prime is 13563382361. The reversal of 13563382338 is 83328336531.

It is a happy number.

13563382338 is a `hidden beast` number, since 1 + 3 + 5 + 633 + 8 + 2 + 3 + 3 + 8 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13563382293 and 13563382302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11416395 + ... + 11417582.

It is an arithmetic number, because the mean of its divisors is an integer number (1027529010).

Almost surely, 2^13563382338 is an apocalyptic number.

13563382338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13563382338 is an abundant number, since it is smaller than the sum of its proper divisors (19317545982).

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

13563382338 is a wasteful number, since it uses less digits than its factorization.

13563382338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22833999 (or 22833993 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The spelling of 13563382338 in words is "thirteen billion, five hundred sixty-three million, three hundred eighty-two thousand, three hundred thirty-eight".