12683217768 has 128 divisors (see below), whose sum is σ = 34461127680. Its totient is φ = 3866849280.

The previous prime is 12683217751. The next prime is 12683217793. The reversal of 12683217768 is 86771238621.

It is a self number, because there is not a number n which added to its sum of digits gives 12683217768.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29291280 + ... + 29291712.

It is an arithmetic number, because the mean of its divisors is an integer number (269227560).

Almost surely, 2^12683217768 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 12683217768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17230563840).

12683217768 is an abundant number, since it is smaller than the sum of its proper divisors (21777909912).

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

12683217768 is a wasteful number, since it uses less digits than its factorization.

12683217768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1095 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 51.

The spelling of 12683217768 in words is "twelve billion, six hundred eighty-three million, two hundred seventeen thousand, seven hundred sixty-eight".