268306388289 has 27 divisors (see below), whose sum is σ = 405190422273. Its totient is φ = 171071137512.

The previous prime is 268306388281. The next prime is 268306388327. The reversal of 268306388289 is 982883603862.

The square root of 268306388289 is 517983.

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

268306388289 is a `hidden beast` number, since 268 + 30 + 63 + 8 + 8 + 289 = 666.

268306388289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 268306388289 - 2³ = 268306388281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (268306388281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35737074 + ... + 35744580.

Almost surely, 2^268306388289 is an apocalyptic number.

268306388289 is the 517983-rd square number.

268306388289 is the 258992-nd centered octagonal number.

It is an amenable number.

268306388289 is a deficient number, since it is larger than the sum of its proper divisors (136884033984).

268306388289 is an frugal number, since it uses more digits than its factorization.

268306388289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15066 (or 7533 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 268306388289 in words is "two hundred sixty-eight billion, three hundred six million, three hundred eighty-eight thousand, two hundred eighty-nine".