14668555104 has 288 divisors, whose sum is σ = 50391694080. Its totient is φ = 3953857536.

The previous prime is 14668555087. The next prime is 14668555151. The reversal of 14668555104 is 40155586641.

14668555104 is a `hidden beast` number, since 1 + 466 + 85 + 5 + 5 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 14668555104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11222419 + ... + 11223725.

It is an arithmetic number, because the mean of its divisors is an integer number (174971160).

Almost surely, 2^14668555104 is an apocalyptic number.

14668555104 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 14668555104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25195847040).

14668555104 is an abundant number, since it is smaller than the sum of its proper divisors (35723138976).

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

14668555104 is a wasteful number, since it uses less digits than its factorization.

14668555104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 14668555104 in words is "fourteen billion, six hundred sixty-eight million, five hundred fifty-five thousand, one hundred four".