12166450945936 has 135 divisors (see below), whose sum is σ = 27577136857179. Its totient is φ = 5184684410304.

The previous prime is 12166450945907. The next prime is 12166450945951. The reversal of 12166450945936 is 63954905466121.

It is a happy number.

The square root of 12166450945936 is 3488044.

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

12166450945936 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 polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33889835325 + ... + 33889835683.

Almost surely, 2^{12166450945936} is an apocalyptic number.

12166450945936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12166450945936 is the 3488044-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12166450945936

12166450945936 is an abundant number, since it is smaller than the sum of its proper divisors (15410685911243).

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

12166450945936 is an frugal number, since it uses more digits than its factorization.

12166450945936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 61.

The spelling of 12166450945936 in words is "twelve trillion, one hundred sixty-six billion, four hundred fifty million, nine hundred forty-five thousand, nine hundred thirty-six".