13268106384 has 80 divisors (see below), whose sum is σ = 36953176512. Its totient is φ = 4078001664.

The previous prime is 13268106373. The next prime is 13268106389. The reversal of 13268106384 is 48360186231.

13268106384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13268106389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 579702 + ... + 602154.

Almost surely, 2^13268106384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13268106384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18476588256).

13268106384 is an abundant number, since it is smaller than the sum of its proper divisors (23685070128).

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

13268106384 is a wasteful number, since it uses less digits than its factorization.

13268106384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23424 (or 23418 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 13268106384 in words is "thirteen billion, two hundred sixty-eight million, one hundred six thousand, three hundred eighty-four".