13338382888656 has 120 divisors (see below), whose sum is σ = 42664360893440. Its totient is φ = 3810724662528.

The previous prime is 13338382888637. The next prime is 13338382888661. The reversal of 13338382888656 is 65688828383331.

13338382888656 is a `hidden beast` number, since 1 + 3 + 338 + 3 + 8 + 288 + 8 + 6 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15779610 + ... + 16603398.

Almost surely, 2^{13338382888656} is an apocalyptic number.

13338382888656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13338382888656 is an abundant number, since it is smaller than the sum of its proper divisors (29325978004784).

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

13338382888656 is a wasteful number, since it uses less digits than its factorization.

13338382888656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839873 (or 839864 counting only the distinct ones).

The product of its digits is 955514880, while the sum is 72.

The spelling of 13338382888656 in words is "thirteen trillion, three hundred thirty-eight billion, three hundred eighty-two million, eight hundred eighty-eight thousand, six hundred fifty-six".