12546089866116 has 81 divisors (see below), whose sum is σ = 33153826889911. Its totient is φ = 4000046715984.

The previous prime is 12546089866069. The next prime is 12546089866201. The reversal of 12546089866116 is 61166898064521.

The square root of 12546089866116 is 3542046.

It is a perfect power (a square), and thus also a powerful number.

12546089866116 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 6 + 0 + 8 + 9 + 8 + 6 + 611 + 6 = 666.

12546089866116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 488789515 + ... + 488815181.

Almost surely, 2^{12546089866116} is an apocalyptic number.

12546089866116 is the 3542046-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12546089866116

12546089866116 is an abundant number, since it is smaller than the sum of its proper divisors (20607737023795).

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

12546089866116 is an frugal number, since it uses more digits than its factorization.

12546089866116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51390 (or 25695 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 12546089866116 in words is "twelve trillion, five hundred forty-six billion, eighty-nine million, eight hundred sixty-six thousand, one hundred sixteen".