12333833876676 has 384 divisors, whose sum is σ = 34303043174400. Its totient is φ = 3412742699520.

The previous prime is 12333833876671. The next prime is 12333833876677. The reversal of 12333833876676 is 67667833833321.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12333833876671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5393017605 + ... + 5393019891.

It is an arithmetic number, because the mean of its divisors is an integer number (89330841600).

Almost surely, 2^{12333833876676} 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 12333833876676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17151521587200).

12333833876676 is an abundant number, since it is smaller than the sum of its proper divisors (21969209297724).

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

12333833876676 is a wasteful number, since it uses less digits than its factorization.

12333833876676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2919 (or 2917 counting only the distinct ones).

The product of its digits is 329204736, while the sum is 66.

The spelling of 12333833876676 in words is "twelve trillion, three hundred thirty-three billion, eight hundred thirty-three million, eight hundred seventy-six thousand, six hundred seventy-six".