14168808864 has 576 divisors, whose sum is σ = 51118179840. Its totient is φ = 3633315840.

The previous prime is 14168808847. The next prime is 14168808911. The reversal of 14168808864 is 46880886141.

It is a happy number.

It is a super-3 number, since 3×14168808864³ (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14168808864.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55131424 + ... + 55131680.

It is an arithmetic number, because the mean of its divisors is an integer number (88746840).

Almost surely, 2^14168808864 is an apocalyptic number.

14168808864 is a gapful number since it is divisible by the number (14) 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 14168808864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25559089920).

14168808864 is an abundant number, since it is smaller than the sum of its proper divisors (36949370976).

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

14168808864 is a wasteful number, since it uses less digits than its factorization.

14168808864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 14168808864 in words is "fourteen billion, one hundred sixty-eight million, eight hundred eight thousand, eight hundred sixty-four".