14187416166 has 320 divisors, whose sum is σ = 43088855040. Its totient is φ = 3376728000.

The previous prime is 14187416161. The next prime is 14187416171. The reversal of 14187416166 is 66161478141.

14187416166 is a `hidden beast` number, since 1 + 418 + 74 + 1 + 6 + 166 = 666.

14187416166 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14187416161) and next prime (14187416171).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14187416161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7346221 + ... + 7348151.

It is an arithmetic number, because the mean of its divisors is an integer number (134652672).

Almost surely, 2^14187416166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14187416166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21544427520).

14187416166 is an abundant number, since it is smaller than the sum of its proper divisors (28901438874).

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

14187416166 is a wasteful number, since it uses less digits than its factorization.

14187416166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2013 (or 2004 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 14187416166 in words is "fourteen billion, one hundred eighty-seven million, four hundred sixteen thousand, one hundred sixty-six".