12166046336196 has 135 divisors (see below), whose sum is σ = 32122201318207. Its totient is φ = 4015229963760.

The previous prime is 12166046336167. The next prime is 12166046336207. The reversal of 12166046336196 is 69163364066121.

It is a happy number.

The square root of 12166046336196 is 3487986.

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

12166046336196 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 60 + 463 + 36 + 1 + 96 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6717860131 + ... + 6717861941.

Almost surely, 2^{12166046336196} is an apocalyptic number.

12166046336196 is the 3487986-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12166046336196

12166046336196 is an abundant number, since it is smaller than the sum of its proper divisors (19956154982011).

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

12166046336196 is an frugal number, since it uses more digits than its factorization.

12166046336196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3852 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

It can be divided in two parts, 121660 and 46336196, that added together give a square (46457856 = 6816²).

The spelling of 12166046336196 in words is "twelve trillion, one hundred sixty-six billion, forty-six million, three hundred thirty-six thousand, one hundred ninety-six".