14642205696 has 264 divisors, whose sum is σ = 44512326144. Its totient is φ = 4629381120.

The previous prime is 14642205653. The next prime is 14642205707. The reversal of 14642205696 is 69650224641.

14642205696 is a `hidden beast` number, since 1 + 4 + 64 + 2 + 20 + 569 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15141405 + ... + 15142371.

It is an arithmetic number, because the mean of its divisors is an integer number (168607296).

Almost surely, 2^14642205696 is an apocalyptic number.

14642205696 is a gapful number since it is divisible by the number (16) 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 14642205696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22256163072).

14642205696 is an abundant number, since it is smaller than the sum of its proper divisors (29870120448).

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

14642205696 is a wasteful number, since it uses less digits than its factorization.

14642205696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 14642205696 in words is "fourteen billion, six hundred forty-two million, two hundred five thousand, six hundred ninety-six".