12586842266436 has 81 divisors (see below), whose sum is σ = 33580519490973. Its totient is φ = 3974664574080.

The previous prime is 12586842266431. The next prime is 12586842266443. The reversal of 12586842266436 is 63466224868521.

The square root of 12586842266436 is 3547794.

It is a perfect power (a square), and thus also a powerful number.

12586842266436 is a `hidden beast` number, since 1 + 2 + 58 + 68 + 422 + 66 + 43 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6679609236036 + 5907233030400 = 2584494^2 + 2430480^2 .

It is not an unprimeable number, because it can be changed into a prime (12586842266431) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 404432956 + ... + 404464076.

Almost surely, 2^{12586842266436} is an apocalyptic number.

12586842266436 is the 3547794-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12586842266436

12586842266436 is an abundant number, since it is smaller than the sum of its proper divisors (20993677224537).

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

12586842266436 is an frugal number, since it uses more digits than its factorization.

12586842266436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62290 (or 31145 counting only the distinct ones).

The product of its digits is 159252480, while the sum is 63.

The spelling of 12586842266436 in words is "twelve trillion, five hundred eighty-six billion, eight hundred forty-two million, two hundred sixty-six thousand, four hundred thirty-six".