12823335783936 has 960 divisors, whose sum is σ = 41078410813440. Its totient is φ = 3984745881600.

The previous prime is 12823335783911. The next prime is 12823335783967. The reversal of 12823335783936 is 63938753332821.

12823335783936 is a `hidden beast` number, since 1 + 2 + 8 + 23 + 3 + 3 + 578 + 3 + 9 + 36 = 666.

12823335783936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25493709061 + ... + 25493709563.

It is an arithmetic number, because the mean of its divisors is an integer number (42790011264).

Almost surely, 2^{12823335783936} is an apocalyptic number.

12823335783936 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 12823335783936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20539205406720).

12823335783936 is an abundant number, since it is smaller than the sum of its proper divisors (28255075029504).

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

12823335783936 is an equidigital number, since it uses as much as digits as its factorization.

12823335783936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 741 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 63.

The spelling of 12823335783936 in words is "twelve trillion, eight hundred twenty-three billion, three hundred thirty-five million, seven hundred eighty-three thousand, nine hundred thirty-six".