14916981168 has 160 divisors (see below), whose sum is σ = 45141753600. Its totient is φ = 4703215104.

The previous prime is 14916981139. The next prime is 14916981193. The reversal of 14916981168 is 86118961941.

14916981168 is a `hidden beast` number, since 1 + 491 + 6 + 98 + 1 + 1 + 68 = 666.

14916981168 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 nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7821271 + ... + 7823177.

It is an arithmetic number, because the mean of its divisors is an integer number (282135960).

Almost surely, 2^14916981168 is an apocalyptic number.

14916981168 is a gapful number since it is divisible by the number (18) 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 14916981168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22570876800).

14916981168 is an abundant number, since it is smaller than the sum of its proper divisors (30224772432).

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

14916981168 is a wasteful number, since it uses less digits than its factorization.

14916981168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896 (or 2884 counting only the distinct ones).

The product of its digits is 746496, while the sum is 54.

The spelling of 14916981168 in words is "fourteen billion, nine hundred sixteen million, nine hundred eighty-one thousand, one hundred sixty-eight".