12817645564808 has 128 divisors (see below), whose sum is σ = 28401046502400. Its totient is φ = 5309541792000.

The previous prime is 12817645564733. The next prime is 12817645564817. The reversal of 12817645564808 is 80846554671821.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 574590791 + ... + 574613097.

It is an arithmetic number, because the mean of its divisors is an integer number (221883175800).

Almost surely, 2^{12817645564808} 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 12817645564808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14200523251200).

12817645564808 is an abundant number, since it is smaller than the sum of its proper divisors (15583400937592).

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

12817645564808 is a wasteful number, since it uses less digits than its factorization.

12817645564808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25291 (or 25287 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 65.

The spelling of 12817645564808 in words is "twelve trillion, eight hundred seventeen billion, six hundred forty-five million, five hundred sixty-four thousand, eight hundred eight".