13438013680 has 80 divisors (see below), whose sum is σ = 38453413824. Its totient is φ = 4252907520.

The previous prime is 13438013669. The next prime is 13438013717. The reversal of 13438013680 is 8631083431.

13438013680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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, 915661 + ... + 930220.

Almost surely, 2^13438013680 is an apocalyptic number.

13438013680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13438013680 is an abundant number, since it is smaller than the sum of its proper divisors (25015400144).

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

13438013680 is a wasteful number, since it uses less digits than its factorization.

13438013680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845914 (or 1845908 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 13438013680 in words is "thirteen billion, four hundred thirty-eight million, thirteen thousand, six hundred eighty".