14645664 has 192 divisors, whose sum is σ = 49351680. Its totient is φ = 4181760.

The previous prime is 14645647. The next prime is 14645677. The reversal of 14645664 is 46654641.

14645664 is a `hidden beast` number, since 1 + 4 + 645 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (69120) is a multiple of the sum of its prime factors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218559 + ... + 218625.

It is an arithmetic number, because the mean of its divisors is an integer number (257040).

Almost surely, 2^14645664 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 14645664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24675840).

14645664 is an abundant number, since it is smaller than the sum of its proper divisors (34706016).

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

14645664 is a wasteful number, since it uses less digits than its factorization.

14645664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 106 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 14645664 is about 3826.9653774237. The cubic root of 14645664 is about 244.6637842724.

The spelling of 14645664 in words is "fourteen million, six hundred forty-five thousand, six hundred sixty-four".