14405313168 has 60 divisors (see below), whose sum is σ = 40324470160. Its totient is φ = 4800627648.

The previous prime is 14405313113. The next prime is 14405313199. The reversal of 14405313168 is 86131350441.

14405313168 is a `hidden beast` number, since 1 + 440 + 53 + 1 + 3 + 168 = 666.

14405313168 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 (36).

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 11 ways as a sum of consecutive naturals, for example, 774603 + ... + 792981.

Almost surely, 2^14405313168 is an apocalyptic number.

14405313168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14405313168 is an abundant number, since it is smaller than the sum of its proper divisors (25919156992).

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

14405313168 is a wasteful number, since it uses less digits than its factorization.

14405313168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23836 (or 23827 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 14405313168 in words is "fourteen billion, four hundred five million, three hundred thirteen thousand, one hundred sixty-eight".