9836634868281 has 81 divisors (see below), whose sum is σ = 15525076606221. Its totient is φ = 5998891976064.

The previous prime is 9836634868219. The next prime is 9836634868289. The reversal of 9836634868281 is 1828684366389.

The square root of 9836634868281 is 3136341.

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

9836634868281 is a `hidden beast` number, since 9 + 8 + 3 + 6 + 63 + 486 + 8 + 2 + 81 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 874395178281 + 8962239690000 = 935091^2 + 2993700^2 .

It is a de Polignac number, because none of the positive numbers 2^k-9836634868281 is a prime.

It is a super-3 number, since 3×9836634868281³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (9836634868289) 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 80 ways as a sum of consecutive naturals, for example, 16757469670 + ... + 16757470256.

Almost surely, 2^{9836634868281} is an apocalyptic number.

9836634868281 is the 3136341-st square number.

9836634868281 is the 1568171-st centered octagonal number.

It is an amenable number.

9836634868281 is a deficient number, since it is larger than the sum of its proper divisors (5688441737940).

9836634868281 is an equidigital number, since it uses as much as digits as its factorization.

9836634868281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 740 counting only the distinct ones).

The product of its digits is 573308928, while the sum is 72.

The spelling of 9836634868281 in words is "nine trillion, eight hundred thirty-six billion, six hundred thirty-four million, eight hundred sixty-eight thousand, two hundred eighty-one".