14664089011680 has 192 divisors, whose sum is σ = 51361019136000. Its totient is φ = 3907626969600.

The previous prime is 14664089011667. The next prime is 14664089011721. The reversal of 14664089011680 is 8611098046641.

14664089011680 is a `hidden beast` number, since 1 + 4 + 66 + 408 + 90 + 1 + 16 + 80 = 666.

14664089011680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4830505 + ... + 7256855.

It is an arithmetic number, because the mean of its divisors is an integer number (267505308000).

Almost surely, 2^{14664089011680} is an apocalyptic number.

14664089011680 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 14664089011680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25680509568000).

14664089011680 is an abundant number, since it is smaller than the sum of its proper divisors (36696930124320).

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

14664089011680 is a wasteful number, since it uses less digits than its factorization.

14664089011680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2427774 (or 2427760 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 14664089011680 in words is "fourteen trillion, six hundred sixty-four billion, eighty-nine million, eleven thousand, six hundred eighty".