13806321664 has 60 divisors (see below), whose sum is σ = 28255377304. Its totient is φ = 6742278144.

The previous prime is 13806321643. The next prime is 13806321677. The reversal of 13806321664 is 46612360831.

It is a super-2 number, since 2×13806321664² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 694714 + ... + 714310.

Almost surely, 2^13806321664 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 13806321664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14127688652).

13806321664 is an abundant number, since it is smaller than the sum of its proper divisors (14449055640).

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

13806321664 is an frugal number, since it uses more digits than its factorization.

13806321664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19668 (or 19642 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 13806321664 in words is "thirteen billion, eight hundred six million, three hundred twenty-one thousand, six hundred sixty-four".