12083443782345 has 192 divisors, whose sum is σ = 23424556733760. Its totient is φ = 5723343028224.

The previous prime is 12083443782341. The next prime is 12083443782383. The reversal of 12083443782345 is 54328734438021.

12083443782345 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 34 + 4 + 378 + 234 + 5 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 1359600308361 + 10723843473984 = 1166019^2 + 3274728^2 .

It is not a de Polignac number, because 12083443782345 - 2² = 12083443782341 is a prime.

It is a super-2 number, since 2×12083443782345² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12083443782291 and 12083443782300.

It is not an unprimeable number, because it can be changed into a prime (12083443782341) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3756120177 + ... + 3756123393.

It is an arithmetic number, because the mean of its divisors is an integer number (122002899655).

Almost surely, 2^{12083443782345} is an apocalyptic number.

12083443782345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12083443782345 is a deficient number, since it is larger than the sum of its proper divisors (11341112951415).

12083443782345 is a wasteful number, since it uses less digits than its factorization.

12083443782345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5164 (or 5161 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 12083443782345 in words is "twelve trillion, eighty-three billion, four hundred forty-three million, seven hundred eighty-two thousand, three hundred forty-five".