13665406304 has 96 divisors (see below), whose sum is σ = 29932156800. Its totient is φ = 6088867840.

The previous prime is 13665406289. The next prime is 13665406351. The reversal of 13665406304 is 40360456631.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9697952 + ... + 9699360.

It is an arithmetic number, because the mean of its divisors is an integer number (311793300).

Almost surely, 2^13665406304 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 13665406304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14966078400).

13665406304 is an abundant number, since it is smaller than the sum of its proper divisors (16266750496).

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

13665406304 is a wasteful number, since it uses less digits than its factorization.

13665406304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 38.

The spelling of 13665406304 in words is "thirteen billion, six hundred sixty-five million, four hundred six thousand, three hundred four".