13646340864 has 720 divisors, whose sum is σ = 47866097664. Its totient is φ = 3832012800.

The previous prime is 13646340863. The next prime is 13646340893. The reversal of 13646340864 is 46804364631.

It is a happy number.

13646340864 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 634 + 0 + 8 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (13646340863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 192201949 + ... + 192202019.

Almost surely, 2^13646340864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13646340864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23933048832).

13646340864 is an abundant number, since it is smaller than the sum of its proper divisors (34219756800).

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

13646340864 is a wasteful number, since it uses less digits than its factorization.

13646340864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 13646340864 in words is "thirteen billion, six hundred forty-six million, three hundred forty thousand, eight hundred sixty-four".