13666908000 has 192 divisors, whose sum is σ = 46218332160. Its totient is φ = 3526848000.

The previous prime is 13666907987. The next prime is 13666908001. The reversal of 13666908000 is 80966631.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13666908000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13666908001) 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, 353631 + ... + 390369.

It is an arithmetic number, because the mean of its divisors is an integer number (240720480).

Almost surely, 2^13666908000 is an apocalyptic number.

13666908000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13666908000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23109166080).

13666908000 is an abundant number, since it is smaller than the sum of its proper divisors (32551424160).

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

13666908000 is a wasteful number, since it uses less digits than its factorization.

13666908000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36798 (or 36780 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 13666908000 in words is "thirteen billion, six hundred sixty-six million, nine hundred eight thousand".