13636564416 has 126 divisors (see below), whose sum is σ = 41521725440. Its totient is φ = 4278085632.

The previous prime is 13636564379. The next prime is 13636564439. The reversal of 13636564416 is 61446563631.

13636564416 is a `hidden beast` number, since 1 + 3 + 636 + 5 + 6 + 4 + 4 + 1 + 6 = 666.

13636564416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 125505 + ... + 207423.

Almost surely, 2^13636564416 is an apocalyptic number.

13636564416 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 13636564416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20760862720).

13636564416 is an abundant number, since it is smaller than the sum of its proper divisors (27885161024).

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

13636564416 is a wasteful number, since it uses less digits than its factorization.

13636564416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81971 (or 81941 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The spelling of 13636564416 in words is "thirteen billion, six hundred thirty-six million, five hundred sixty-four thousand, four hundred sixteen".