13644233252208 has 320 divisors, whose sum is σ = 42425534592000. Its totient is φ = 4173486197760.

The previous prime is 13644233252179. The next prime is 13644233252231. The reversal of 13644233252208 is 80225233244631.

13644233252208 is a `hidden beast` number, since 1 + 3 + 64 + 4 + 2 + 332 + 52 + 208 = 666.

13644233252208 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1460677618 + ... + 1460686958.

It is an arithmetic number, because the mean of its divisors is an integer number (132579795600).

Almost surely, 2^{13644233252208} is an apocalyptic number.

13644233252208 is a gapful number since it is divisible by the number (18) 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 13644233252208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21212767296000).

13644233252208 is an abundant number, since it is smaller than the sum of its proper divisors (28781301339792).

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

13644233252208 is a wasteful number, since it uses less digits than its factorization.

13644233252208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10877 (or 10865 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

Adding to 13644233252208 its reverse (80225233244631), we get a palindrome (93869466496839).

The spelling of 13644233252208 in words is "thirteen trillion, six hundred forty-four billion, two hundred thirty-three million, two hundred fifty-two thousand, two hundred eight".