13388988913776 has 80 divisors (see below), whose sum is σ = 43921550944000. Its totient is φ = 3825425403072.

The previous prime is 13388988913759. The next prime is 13388988913777. The reversal of 13388988913776 is 67731988988331.

13388988913776 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 89 + 88 + 91 + 377 + 6 = 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 = 13388988913695 and 13388988913704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13388988913777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2213784826 + ... + 2213790873.

It is an arithmetic number, because the mean of its divisors is an integer number (549019386800).

Almost surely, 2^{13388988913776} is an apocalyptic number.

13388988913776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13388988913776 is an abundant number, since it is smaller than the sum of its proper divisors (30532562030224).

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

13388988913776 is a wasteful number, since it uses less digits than its factorization.

13388988913776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4427575723 (or 4427575711 counting only the distinct ones).

The product of its digits is 2633637888, while the sum is 81.

The spelling of 13388988913776 in words is "thirteen trillion, three hundred eighty-eight billion, nine hundred eighty-eight million, nine hundred thirteen thousand, seven hundred seventy-six".