14555675664 has 120 divisors (see below), whose sum is σ = 41544528480. Its totient is φ = 4756506624.

The previous prime is 14555675633. The next prime is 14555675671. The reversal of 14555675664 is 46657655541.

14555675664 is a `hidden beast` number, since 14 + 5 + 5 + 5 + 67 + 566 + 4 = 666.

14555675664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14555675664.

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 23 ways as a sum of consecutive naturals, for example, 1489707 + ... + 1499445.

It is an arithmetic number, because the mean of its divisors is an integer number (346204404).

Almost surely, 2^14555675664 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 14555675664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20772264240).

14555675664 is an abundant number, since it is smaller than the sum of its proper divisors (26988852816).

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

14555675664 is a wasteful number, since it uses less digits than its factorization.

14555675664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9957 (or 9948 counting only the distinct ones).

The product of its digits is 15120000, while the sum is 54.

The spelling of 14555675664 in words is "fourteen billion, five hundred fifty-five million, six hundred seventy-five thousand, six hundred sixty-four".