13866149721600 has 1200 divisors, whose sum is σ = 56336079349440. Its totient is φ = 3340420300800.

The previous prime is 13866149721587. The next prime is 13866149721607. The reversal of 13866149721600 is 612794166831.

13866149721600 is a `hidden beast` number, since 1 + 3 + 8 + 6 + 6 + 1 + 4 + 9 + 7 + 21 + 600 = 666.

13866149721600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13866149721607) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1858978671 + ... + 1858986129.

Almost surely, 2^{13866149721600} is an apocalyptic number.

13866149721600 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 13866149721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28168039674720).

13866149721600 is an abundant number, since it is smaller than the sum of its proper divisors (42469929627840).

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

13866149721600 is a wasteful number, since it uses less digits than its factorization.

13866149721600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7673 (or 7643 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 13866149721600 in words is "thirteen trillion, eight hundred sixty-six billion, one hundred forty-nine million, seven hundred twenty-one thousand, six hundred".