14119668864 has 288 divisors, whose sum is σ = 47761459200. Its totient is φ = 3922089984.

The previous prime is 14119668853. The next prime is 14119668977. The reversal of 14119668864 is 46886691141.

14119668864 is a `hidden beast` number, since 1 + 411 + 96 + 6 + 88 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×14119668864² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 14119668864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11038977 + ... + 11040255.

It is an arithmetic number, because the mean of its divisors is an integer number (165838400).

Almost surely, 2^14119668864 is an apocalyptic number.

14119668864 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 14119668864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23880729600).

14119668864 is an abundant number, since it is smaller than the sum of its proper divisors (33641790336).

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

14119668864 is a wasteful number, since it uses less digits than its factorization.

14119668864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1328 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The spelling of 14119668864 in words is "fourteen billion, one hundred nineteen million, six hundred sixty-eight thousand, eight hundred sixty-four".