14559785968 has 160 divisors (see below), whose sum is σ = 35517726720. Its totient is φ = 5628994560.

The previous prime is 14559785957. The next prime is 14559785987. The reversal of 14559785968 is 86958795541.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13128198 + ... + 13129306.

It is an arithmetic number, because the mean of its divisors is an integer number (221985792).

Almost surely, 2^14559785968 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 14559785968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17758863360).

14559785968 is an abundant number, since it is smaller than the sum of its proper divisors (20957940752).

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

14559785968 is a wasteful number, since it uses less digits than its factorization.

14559785968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1329 counting only the distinct ones).

The product of its digits is 108864000, while the sum is 67.

The spelling of 14559785968 in words is "fourteen billion, five hundred fifty-nine million, seven hundred eighty-five thousand, nine hundred sixty-eight".