12466166076 has 432 divisors, whose sum is σ = 41751650304. Its totient is φ = 3052982016.

The previous prime is 12466166051. The next prime is 12466166101. The reversal of 12466166076 is 67066166421.

12466166076 is a `hidden beast` number, since 1 + 24 + 6 + 6 + 16 + 607 + 6 = 666.

12466166076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12466166051) and next prime (12466166101).

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 143 ways as a sum of consecutive naturals, for example, 98158725 + ... + 98158851.

Almost surely, 2^12466166076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12466166076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20875825152).

12466166076 is an abundant number, since it is smaller than the sum of its proper divisors (29285484228).

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

12466166076 is a wasteful number, since it uses less digits than its factorization.

12466166076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 12466166076 in words is "twelve billion, four hundred sixty-six million, one hundred sixty-six thousand, seventy-six".