14829564384 has 144 divisors (see below), whose sum is σ = 42866669664. Its totient is φ = 4862054400.

The previous prime is 14829564383. The next prime is 14829564427. The reversal of 14829564384 is 48346592841.

14829564384 is a `hidden beast` number, since 1 + 48 + 2 + 9 + 564 + 38 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 14829564384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14829564383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15560452 + ... + 15561404.

It is an arithmetic number, because the mean of its divisors is an integer number (297685206).

Almost surely, 2^14829564384 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 14829564384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21433334832).

14829564384 is an abundant number, since it is smaller than the sum of its proper divisors (28037105280).

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

14829564384 is a wasteful number, since it uses less digits than its factorization.

14829564384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801 (or 1790 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 14829564384 in words is "fourteen billion, eight hundred twenty-nine million, five hundred sixty-four thousand, three hundred eighty-four".