14235074568 has 256 divisors, whose sum is σ = 47116339200. Its totient is φ = 3925152000.

The previous prime is 14235074563. The next prime is 14235074587. The reversal of 14235074568 is 86547053241.

14235074568 is a `hidden beast` number, since 1 + 42 + 3 + 507 + 45 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (14235074563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2189803 + ... + 2196293.

It is an arithmetic number, because the mean of its divisors is an integer number (184048200).

Almost surely, 2^14235074568 is an apocalyptic number.

14235074568 is a gapful number since it is divisible by the number (18) 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 14235074568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23558169600).

14235074568 is an abundant number, since it is smaller than the sum of its proper divisors (32881264632).

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

14235074568 is a wasteful number, since it uses less digits than its factorization.

14235074568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6601 (or 6591 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 14235074568 in words is "fourteen billion, two hundred thirty-five million, seventy-four thousand, five hundred sixty-eight".