14189395968 has 340 divisors, whose sum is σ = 46436882448. Its totient is φ = 4299816960.

The previous prime is 14189395931. The next prime is 14189395973. The reversal of 14189395968 is 86959398141.

14189395968 is a `hidden beast` number, since 1 + 4 + 1 + 8 + 9 + 39 + 596 + 8 = 666.

Its product of digits (16796160) is a multiple of the sum of its prime divisors (16).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1289945083 + ... + 1289945093.

Almost surely, 2^14189395968 is an apocalyptic number.

14189395968 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 14189395968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23218441224).

14189395968 is an abundant number, since it is smaller than the sum of its proper divisors (32247486480).

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

14189395968 is an frugal number, since it uses more digits than its factorization.

14189395968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 16 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 63.

The spelling of 14189395968 in words is "fourteen billion, one hundred eighty-nine million, three hundred ninety-five thousand, nine hundred sixty-eight".