13812826336 has 48 divisors (see below), whose sum is σ = 27735287328. Its totient is φ = 6769728000.

The previous prime is 13812826331. The next prime is 13812826373. The reversal of 13812826336 is 63362821831.

It is a junction number, because it is equal to n+sod(n) for n = 13812826292 and 13812826301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13812826331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 559861 + ... + 584011.

It is an arithmetic number, because the mean of its divisors is an integer number (577818486).

Almost surely, 2^13812826336 is an apocalyptic number.

13812826336 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 13812826336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13867643664).

13812826336 is an abundant number, since it is smaller than the sum of its proper divisors (13922460992).

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

13812826336 is a wasteful number, since it uses less digits than its factorization.

13812826336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24515 (or 24507 counting only the distinct ones).

The product of its digits is 248832, while the sum is 43.

The spelling of 13812826336 in words is "thirteen billion, eight hundred twelve million, eight hundred twenty-six thousand, three hundred thirty-six".