14086668960 has 576 divisors, whose sum is σ = 61776691200. Its totient is φ = 2971551744.

The previous prime is 14086668943. The next prime is 14086669001. The reversal of 14086668960 is 6986668041.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 14086668897 and 14086668906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2749281 + ... + 2754399.

It is an arithmetic number, because the mean of its divisors is an integer number (107251200).

Almost surely, 2^14086668960 is an apocalyptic number.

14086668960 is a gapful number since it is divisible by the number (10) 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 14086668960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30888345600).

14086668960 is an abundant number, since it is smaller than the sum of its proper divisors (47690022240).

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

14086668960 is a wasteful number, since it uses less digits than its factorization.

14086668960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5170 (or 5149 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 14086668960 in words is "fourteen billion, eighty-six million, six hundred sixty-eight thousand, nine hundred sixty".