12516629166 has 48 divisors (see below), whose sum is σ = 28265328000. Its totient is φ = 4151211768.

The previous prime is 12516629159. The next prime is 12516629179. The reversal of 12516629166 is 66192661521.

12516629166 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 6 + 629 + 16 + 6 = 666.

12516629166 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 32005 + ... + 161423.

It is an arithmetic number, because the mean of its divisors is an integer number (588861000).

Almost surely, 2^12516629166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12516629166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14132664000).

12516629166 is an abundant number, since it is smaller than the sum of its proper divisors (15748698834).

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

12516629166 is a wasteful number, since it uses less digits than its factorization.

12516629166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129635 (or 129623 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The spelling of 12516629166 in words is "twelve billion, five hundred sixteen million, six hundred twenty-nine thousand, one hundred sixty-six".