12663414560 has 96 divisors (see below), whose sum is σ = 30511140912. Its totient is φ = 4965396480.

The previous prime is 12663414553. The next prime is 12663414593. The reversal of 12663414560 is 6541436621.

12663414560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 116726416 + 12546688144 = 10804^2 + 112012^2 .

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, 3091874 + ... + 3095966.

Almost surely, 2^12663414560 is an apocalyptic number.

12663414560 is a gapful number since it is divisible by the number (10) 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 12663414560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15255570456).

12663414560 is an abundant number, since it is smaller than the sum of its proper divisors (17847726352).

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

12663414560 is a wasteful number, since it uses less digits than its factorization.

12663414560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4486 (or 4478 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 12663414560 in words is "twelve billion, six hundred sixty-three million, four hundred fourteen thousand, five hundred sixty".