12831083790336 has 1360 divisors, whose sum is σ = 46436882448000. Its totient is φ = 3539609321472.

The previous prime is 12831083790299. The next prime is 12831083790397. The reversal of 12831083790336 is 63309738013821.

12831083790336 is a `hidden beast` number, since 12 + 83 + 108 + 37 + 90 + 336 = 666.

It is a super-2 number, since 2×12831083790336² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 442451165170 + ... + 442451165198.

Almost surely, 2^{12831083790336} is an apocalyptic number.

12831083790336 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 12831083790336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23218441224000).

12831083790336 is an abundant number, since it is smaller than the sum of its proper divisors (33605798657664).

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

12831083790336 is an frugal number, since it uses more digits than its factorization.

12831083790336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 12831083790336 in words is "twelve trillion, eight hundred thirty-one billion, eighty-three million, seven hundred ninety thousand, three hundred thirty-six".