12826414769868 has 1008 divisors, whose sum is σ = 42498243375840. Its totient is φ = 3364942694400.

The previous prime is 12826414769827. The next prime is 12826414769951. The reversal of 12826414769868 is 86896741462821.

12826414769868 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 6 + 4 + 1 + 476 + 98 + 68 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12826414769796 and 12826414769805.

It is an unprimeable number.

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 335 ways as a sum of consecutive naturals, for example, 12088986058 + ... + 12088987118.

It is an arithmetic number, because the mean of its divisors is an integer number (42160955730).

Almost surely, 2^{12826414769868} is an apocalyptic number.

12826414769868 is a gapful number since it is divisible by the number (18) 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 12826414769868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21249121687920).

12826414769868 is an abundant number, since it is smaller than the sum of its proper divisors (29671828605972).

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

12826414769868 is a wasteful number, since it uses less digits than its factorization.

12826414769868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1226 counting only the distinct ones).

The product of its digits is 445906944, while the sum is 72.

The spelling of 12826414769868 in words is "twelve trillion, eight hundred twenty-six billion, four hundred fourteen million, seven hundred sixty-nine thousand, eight hundred sixty-eight".