13635116326116 has 36 divisors (see below), whose sum is σ = 34466668314624. Its totient is φ = 4545022388400.

The previous prime is 13635116326067. The next prime is 13635116326151. The reversal of 13635116326116 is 61162361153631.

13635116326116 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 5 + 1 + 1 + 632 + 6 + 1 + 1 + 6 = 666.

13635116326116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13445301 + ... + 14423811.

It is an arithmetic number, because the mean of its divisors is an integer number (957407453184).

Almost surely, 2^{13635116326116} is an apocalyptic number.

It is an amenable number.

13635116326116 is an abundant number, since it is smaller than the sum of its proper divisors (20831551988508).

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

13635116326116 is a wasteful number, since it uses less digits than its factorization.

13635116326116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365592 (or 1365587 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

Adding to 13635116326116 its reverse (61162361153631), we get a palindrome (74797477479747).

The spelling of 13635116326116 in words is "thirteen trillion, six hundred thirty-five billion, one hundred sixteen million, three hundred twenty-six thousand, one hundred sixteen".