12438083541285 has 48 divisors (see below), whose sum is σ = 21965616891504. Its totient is φ = 6509560329216.

The previous prime is 12438083541241. The next prime is 12438083541287. The reversal of 12438083541285 is 58214538083421.

It is a happy number.

12438083541285 is a `hidden beast` number, since 1 + 2 + 4 + 3 + 8 + 0 + 8 + 354 + 1 + 285 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1302741456129 + 11135342085156 = 1141377^2 + 3336966^2 .

It is not a de Polignac number, because 12438083541285 - 2¹⁰ = 12438083540261 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12438083541287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8962822 + ... + 10257111.

It is an arithmetic number, because the mean of its divisors is an integer number (457617018573).

Almost surely, 2^{12438083541285} is an apocalyptic number.

12438083541285 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12438083541285 is a deficient number, since it is larger than the sum of its proper divisors (9527533350219).

12438083541285 is a wasteful number, since it uses less digits than its factorization.

12438083541285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19220214 (or 19220211 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 12438083541285 in words is "twelve trillion, four hundred thirty-eight billion, eighty-three million, five hundred forty-one thousand, two hundred eighty-five".