12826650822336 has 560 divisors, whose sum is σ = 41508536398560. Its totient is φ = 3916079032320.

The previous prime is 12826650822331. The next prime is 12826650822341. The reversal of 12826650822336 is 63322805662821.

12826650822336 is a `hidden beast` number, since 1 + 2 + 82 + 6 + 6 + 508 + 2 + 23 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (12826650822331) and next prime (12826650822341).

It is a super-3 number, since 3×12826650822336³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12826650822331) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1491987190 + ... + 1491995786.

It is an arithmetic number, because the mean of its divisors is an integer number (74122386426).

Almost surely, 2^{12826650822336} is an apocalyptic number.

12826650822336 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 12826650822336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20754268199280).

12826650822336 is an abundant number, since it is smaller than the sum of its proper divisors (28681885576224).

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

12826650822336 is an equidigital number, since it uses as much as digits as its factorization.

12826650822336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8791 (or 8746 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 12826650822336 in words is "twelve trillion, eight hundred twenty-six billion, six hundred fifty million, eight hundred twenty-two thousand, three hundred thirty-six".