13617060820704 has 1344 divisors, whose sum is σ = 47309768755200. Its totient is φ = 3812896281600.

The previous prime is 13617060820703. The next prime is 13617060820721. The reversal of 13617060820704 is 40702806071631.

13617060820704 is a `hidden beast` number, since 1 + 3 + 6 + 17 + 0 + 608 + 20 + 7 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13617060820704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13617060820703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 48116822547 + ... + 48116822829.

It is an arithmetic number, because the mean of its divisors is an integer number (35200720800).

Almost surely, 2^{13617060820704} 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 13617060820704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23654884377600).

13617060820704 is an abundant number, since it is smaller than the sum of its proper divisors (33692707934496).

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

13617060820704 is a wasteful number, since it uses less digits than its factorization.

13617060820704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 13617060820704 in words is "thirteen trillion, six hundred seventeen billion, sixty million, eight hundred twenty thousand, seven hundred four".