268735449609 has 81 divisors (see below), whose sum is σ = 446681390701. Its totient is φ = 155560571760.

The previous prime is 268735449469. The next prime is 268735449623. The reversal of 268735449609 is 906944537862.

The square root of 268735449609 is 518397.

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

268735449609 is a `hidden beast` number, since 2 + 6 + 87 + 3 + 544 + 9 + 6 + 0 + 9 = 666.

It is not a de Polignac number, because 268735449609 - 2⁹ = 268735449097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (268735449709) 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, 393462982 + ... + 393463664.

Almost surely, 2^268735449609 is an apocalyptic number.

268735449609 is the 518397-th square number.

268735449609 is the 259199-th centered octagonal number.

It is an amenable number.

268735449609 is a deficient number, since it is larger than the sum of its proper divisors (177945941092).

268735449609 is an equidigital number, since it uses as much as digits as its factorization.

268735449609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 268735449609 in words is "two hundred sixty-eight billion, seven hundred thirty-five million, four hundred forty-nine thousand, six hundred nine".