13664876544 has 288 divisors, whose sum is σ = 43488310320. Its totient is φ = 4133437440.

The previous prime is 13664876503. The next prime is 13664876549. The reversal of 13664876544 is 44567846631.

13664876544 is a `hidden beast` number, since 1 + 3 + 66 + 487 + 65 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×13664876544² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13664876549) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24532714 + ... + 24533270.

Almost surely, 2^13664876544 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 13664876544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21744155160).

13664876544 is an abundant number, since it is smaller than the sum of its proper divisors (29823433776).

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

13664876544 is an equidigital number, since it uses as much as digits as its factorization.

13664876544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 573 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 13664876544 in words is "thirteen billion, six hundred sixty-four million, eight hundred seventy-six thousand, five hundred forty-four".