12823214976 has 672 divisors, whose sum is σ = 46496351160. Its totient is φ = 3471206400.

The previous prime is 12823214959. The next prime is 12823215011. The reversal of 12823214976 is 67941232821.

12823214976 is a `hidden beast` number, since 1 + 282 + 321 + 49 + 7 + 6 = 666.

12823214976 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 413652081 + ... + 413652111.

Almost surely, 2^12823214976 is an apocalyptic number.

12823214976 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 12823214976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23248175580).

12823214976 is an abundant number, since it is smaller than the sum of its proper divisors (33673136184).

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

12823214976 is an equidigital number, since it uses as much as digits as its factorization.

12823214976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 60 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 12823214976 in words is "twelve billion, eight hundred twenty-three million, two hundred fourteen thousand, nine hundred seventy-six".