6826123356 has 288 divisors, whose sum is σ = 19755671040. Its totient is φ = 1817604096.

The previous prime is 6826123351. The next prime is 6826123363. The reversal of 6826123356 is 6533216286.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6826123351) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 30070915 + ... + 30071141.

It is an arithmetic number, because the mean of its divisors is an integer number (68596080).

Almost surely, 2^6826123356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6826123356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9877835520).

6826123356 is an abundant number, since it is smaller than the sum of its proper divisors (12929547684).

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

6826123356 is a wasteful number, since it uses less digits than its factorization.

6826123356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 314 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 6826123356 is about 82620.3567893531. The cubic root of 6826123356 is about 1896.9594355889.

The spelling of 6826123356 in words is "six billion, eight hundred twenty-six million, one hundred twenty-three thousand, three hundred fifty-six".