14120576568 has 72 divisors (see below), whose sum is σ = 44487031680. Its totient is φ = 4034449440.

The previous prime is 14120576549. The next prime is 14120576593. The reversal of 14120576568 is 86567502141.

14120576568 is a `hidden beast` number, since 1 + 4 + 1 + 20 + 576 + 56 + 8 = 666.

14120576568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×14120576568² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 1997688 + ... + 2004743.

It is an arithmetic number, because the mean of its divisors is an integer number (617875440).

Almost surely, 2^14120576568 is an apocalyptic number.

14120576568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14120576568 is an abundant number, since it is smaller than the sum of its proper divisors (30366455112).

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

14120576568 is a wasteful number, since it uses less digits than its factorization.

14120576568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4002457 (or 4002443 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 14120576568 in words is "fourteen billion, one hundred twenty million, five hundred seventy-six thousand, five hundred sixty-eight".