13666644000 has 240 divisors, whose sum is σ = 50162328216. Its totient is φ = 3644352000.

The previous prime is 13666643993. The next prime is 13666644001. The reversal of 13666644000 is 44666631.

It can be written as a sum of positive squares in 4 ways, for example, as 1042773264 + 12623870736 = 32292^2 + 112356^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13666644001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 302910 + ... + 345090.

Almost surely, 2^13666644000 is an apocalyptic number.

13666644000 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 13666644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25081164108).

13666644000 is an abundant number, since it is smaller than the sum of its proper divisors (36495684216).

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

13666644000 is an equidigital number, since it uses as much as digits as its factorization.

13666644000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42218 (or 42191 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 13666644000 in words is "thirteen billion, six hundred sixty-six million, six hundred forty-four thousand".