13138044880896 has 384 divisors, whose sum is σ = 42179047747200. Its totient is φ = 4016692592640.

The previous prime is 13138044880879. The next prime is 13138044880951. The reversal of 13138044880896 is 69808844083131.

13138044880896 is a `hidden beast` number, since 1 + 3 + 1 + 38 + 0 + 448 + 80 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112800931 + ... + 112917341.

It is an arithmetic number, because the mean of its divisors is an integer number (109841270175).

Almost surely, 2^{13138044880896} is an apocalyptic number.

13138044880896 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 13138044880896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21089523873600).

13138044880896 is an abundant number, since it is smaller than the sum of its proper divisors (29041002866304).

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

13138044880896 is a wasteful number, since it uses less digits than its factorization.

13138044880896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116612 (or 116586 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 13138044880896 in words is "thirteen trillion, one hundred thirty-eight billion, forty-four million, eight hundred eighty thousand, eight hundred ninety-six".