14564471328 has 288 divisors, whose sum is σ = 48010802112. Its totient is φ = 4304793600.

The previous prime is 14564471303. The next prime is 14564471347. The reversal of 14564471328 is 82317446541.

14564471328 is a `hidden beast` number, since 14 + 564 + 4 + 71 + 3 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3504900 + ... + 3509052.

It is an arithmetic number, because the mean of its divisors is an integer number (166704174).

Almost surely, 2^14564471328 is an apocalyptic number.

14564471328 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 14564471328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24005401056).

14564471328 is an abundant number, since it is smaller than the sum of its proper divisors (33446330784).

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

14564471328 is a wasteful number, since it uses less digits than its factorization.

14564471328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4230 (or 4210 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 14564471328 in words is "fourteen billion, five hundred sixty-four million, four hundred seventy-one thousand, three hundred twenty-eight".