13666013564 has 72 divisors (see below), whose sum is σ = 28567965888. Its totient is φ = 5700119040.

The previous prime is 13666013513. The next prime is 13666013593. The reversal of 13666013564 is 46531066631.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3718832 + ... + 3722504.

It is an arithmetic number, because the mean of its divisors is an integer number (396777304).

Almost surely, 2^13666013564 is an apocalyptic number.

13666013564 is a gapful number since it is divisible by the number (14) 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 13666013564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14283982944).

13666013564 is an abundant number, since it is smaller than the sum of its proper divisors (14901952324).

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

13666013564 is a wasteful number, since it uses less digits than its factorization.

13666013564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4195 (or 4186 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 41.

The spelling of 13666013564 in words is "thirteen billion, six hundred sixty-six million, thirteen thousand, five hundred sixty-four".