14117825168 has 80 divisors (see below), whose sum is σ = 29442579840. Its totient is φ = 6533990400.

The previous prime is 14117825087. The next prime is 14117825179. The reversal of 14117825168 is 86152871141.

It is a happy number.

14117825168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 11953538 + ... + 11954718.

It is an arithmetic number, because the mean of its divisors is an integer number (368032248).

Almost surely, 2^14117825168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14117825168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14721289920).

14117825168 is an abundant number, since it is smaller than the sum of its proper divisors (15324754672).

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

14117825168 is a wasteful number, since it uses less digits than its factorization.

14117825168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 1890 counting only the distinct ones).

The product of its digits is 107520, while the sum is 44.

The spelling of 14117825168 in words is "fourteen billion, one hundred seventeen million, eight hundred twenty-five thousand, one hundred sixty-eight".