12546417968 has 80 divisors (see below), whose sum is σ = 28513056000. Its totient is φ = 5237104896.

The previous prime is 12546417937. The next prime is 12546418007. The reversal of 12546417968 is 86971464521.

It is a happy number.

12546417968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 711563 + ... + 728981.

It is an arithmetic number, because the mean of its divisors is an integer number (356413200).

Almost surely, 2^12546417968 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 12546417968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14256528000).

12546417968 is an abundant number, since it is smaller than the sum of its proper divisors (15966638032).

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

12546417968 is a wasteful number, since it uses less digits than its factorization.

12546417968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17602 (or 17596 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 53.

The spelling of 12546417968 in words is "twelve billion, five hundred forty-six million, four hundred seventeen thousand, nine hundred sixty-eight".