13666514400 has 1296 divisors, whose sum is σ = 63536683392. Its totient is φ = 2805580800.

The previous prime is 13666514357. The next prime is 13666514413. The reversal of 13666514400 is 441566631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 164656759 + ... + 164656841.

Almost surely, 2^13666514400 is an apocalyptic number.

13666514400 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 13666514400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31768341696).

13666514400 is an abundant number, since it is smaller than the sum of its proper divisors (49870168992).

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

13666514400 is a wasteful number, since it uses less digits than its factorization.

13666514400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 13666514400 in words is "thirteen billion, six hundred sixty-six million, five hundred fourteen thousand, four hundred".