268584800542249 has 9 divisors (see below), whose sum is σ = 269269563529701. Its totient is φ = 267901774652160.

The previous prime is 268584800542189. The next prime is 268584800542297. The reversal of 268584800542249 is 942245008485862.

The square root of 268584800542249 is 16388557.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3040437379225 + 265544363163024 = 1743685^2 + 16295532^2 .

It is not a de Polignac number, because 268584800542249 - 2²⁷ = 268584666324521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (268584800542549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6506236489 + ... + 6506277769.

It is an arithmetic number, because the mean of its divisors is an integer number (29918840392189).

Almost surely, 2^{268584800542249} is an apocalyptic number.

268584800542249 is the 16388557-th square number.

268584800542249 is the 8194279-th centered octagonal number.

It is an amenable number.

268584800542249 is a deficient number, since it is larger than the sum of its proper divisors (684762987452).

268584800542249 is an frugal number, since it uses more digits than its factorization.

268584800542249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83356 (or 41678 counting only the distinct ones).

The product of its (nonzero) digits is 353894400, while the sum is 67.

The spelling of 268584800542249 in words is "two hundred sixty-eight trillion, five hundred eighty-four billion, eight hundred million, five hundred forty-two thousand, two hundred forty-nine".