13635466441 has 9 divisors (see below), whose sum is σ = 14256896871. Its totient is φ = 13040051112.

The previous prime is 13635466423. The next prime is 13635466501. The reversal of 13635466441 is 14466453631.

The square root of 13635466441 is 116771.

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

It can be written as a sum of positive squares in only one way, i.e., 13251463225 + 384003216 = 115115^2 + 19596^2 .

It is not a de Polignac number, because 13635466441 - 2⁵ = 13635466409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13435466441) 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, 2683195 + ... + 2688271.

Almost surely, 2^13635466441 is an apocalyptic number.

13635466441 is the 116771-st square number.

13635466441 is the 58386-th centered octagonal number.

It is an amenable number.

13635466441 is a deficient number, since it is larger than the sum of its proper divisors (621430430).

13635466441 is an frugal number, since it uses more digits than its factorization.

13635466441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10200 (or 5100 counting only the distinct ones).

The product of its digits is 622080, while the sum is 43.

The spelling of 13635466441 in words is "thirteen billion, six hundred thirty-five million, four hundred sixty-six thousand, four hundred forty-one".