13664008105 has 32 divisors (see below), whose sum is σ = 18610126848. Its totient is φ = 9541022400.

The previous prime is 13664008103. The next prime is 13664008151. The reversal of 13664008105 is 50180046631.

It is a happy number.

It is not a de Polignac number, because 13664008105 - 2¹ = 13664008103 is a prime.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13664008103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184984 + ... + 248086.

It is an arithmetic number, because the mean of its divisors is an integer number (581566464).

Almost surely, 2^13664008105 is an apocalyptic number.

It is an amenable number.

13664008105 is a deficient number, since it is larger than the sum of its proper divisors (4946118743).

13664008105 is a wasteful number, since it uses less digits than its factorization.

13664008105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63277.

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 13664008105 in words is "thirteen billion, six hundred sixty-four million, eight thousand, one hundred five".