14604480801 has 9 divisors (see below), whose sum is σ = 21095884849. Its totient is φ = 9736078836.

The previous prime is 14604480749. The next prime is 14604480841. The reversal of 14604480801 is 10808440641.

The square root of 14604480801 is 120849.

It is a perfect power (a square), and thus also a powerful number.

14604480801 is a `hidden beast` number, since 1 + 4 + 604 + 48 + 0 + 8 + 0 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 14604480801 - 2²⁵ = 14570926369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14604480841) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 342406 + ... + 382688.

Almost surely, 2^14604480801 is an apocalyptic number.

14604480801 is the 120849-th square number.

14604480801 is the 60425-th centered octagonal number.

It is an amenable number.

14604480801 is a deficient number, since it is larger than the sum of its proper divisors (6491404048).

14604480801 is an frugal number, since it uses more digits than its factorization.

14604480801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80572 (or 40286 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

Multiplying 14604480801 by its sum of digits (36), we get a square (525761308836 = 725094²).

The spelling of 14604480801 in words is "fourteen billion, six hundred four million, four hundred eighty thousand, eight hundred one".