12366181166976 has 1152 divisors, whose sum is σ = 46362119731200. Its totient is φ = 3252103852032.

The previous prime is 12366181166971. The next prime is 12366181166981. The reversal of 12366181166976 is 67966118166321.

It is a happy number.

12366181166976 is a `hidden beast` number, since 1 + 2 + 3 + 6 + 618 + 1 + 1 + 6 + 6 + 9 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (12366181166971) and next prime (12366181166981).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12366181166971) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9490545141 + ... + 9490546443.

It is an arithmetic number, because the mean of its divisors is an integer number (40244895600).

Almost surely, 2^{12366181166976} is an apocalyptic number.

12366181166976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12366181166976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23181059865600).

12366181166976 is an abundant number, since it is smaller than the sum of its proper divisors (33995938564224).

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

12366181166976 is a wasteful number, since it uses less digits than its factorization.

12366181166976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 1807 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The spelling of 12366181166976 in words is "twelve trillion, three hundred sixty-six billion, one hundred eighty-one million, one hundred sixty-six thousand, nine hundred seventy-six".