13633166961 has 12 divisors (see below), whose sum is σ = 19895367492. Its totient is φ = 8995078656.

The previous prime is 13633166933. The next prime is 13633167019. The reversal of 13633166961 is 16966133631.

13633166961 is a `hidden beast` number, since 1 + 3 + 633 + 1 + 6 + 6 + 9 + 6 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6061556736 + 7571610225 = 77856^2 + 87015^2 .

It is not a de Polignac number, because 13633166961 - 2¹³ = 13633158769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13633166461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7807356 + ... + 7809101.

It is an arithmetic number, because the mean of its divisors is an integer number (1657947291).

Almost surely, 2^13633166961 is an apocalyptic number.

It is an amenable number.

13633166961 is a deficient number, since it is larger than the sum of its proper divisors (6262200531).

13633166961 is a wasteful number, since it uses less digits than its factorization.

13633166961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15616560 (or 15616557 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The spelling of 13633166961 in words is "thirteen billion, six hundred thirty-three million, one hundred sixty-six thousand, nine hundred sixty-one".