14700094968 has 256 divisors, whose sum is σ = 41919897600. Its totient is φ = 4265533440.

The previous prime is 14700094951. The next prime is 14700094979. The reversal of 14700094968 is 86949000741.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76963753 + ... + 76963943.

It is an arithmetic number, because the mean of its divisors is an integer number (163749600).

Almost surely, 2^14700094968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14700094968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20959948800).

14700094968 is an abundant number, since it is smaller than the sum of its proper divisors (27219802632).

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

14700094968 is a wasteful number, since it uses less digits than its factorization.

14700094968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 14700094968 in words is "fourteen billion, seven hundred million, ninety-four thousand, nine hundred sixty-eight".