288265489294689 has 63 divisors (see below), whose sum is σ = 433502756131809. Its totient is φ = 191599693884360.

The previous prime is 288265489294613. The next prime is 288265489294823. The reversal of 288265489294689 is 986492984562882.

The square root of 288265489294689 is 16978383.

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

288265489294689 is a `hidden beast` number, since 2 + 8 + 8 + 2 + 6 + 5 + 489 + 2 + 9 + 46 + 89 = 666.

It is not a de Polignac number, because 288265489294689 - 2³⁹ = 287715733480801 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 288265489294599 and 288265489294608.

It is not an unprimeable number, because it can be changed into a prime (288265489294889) 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 62 ways as a sum of consecutive naturals, for example, 197577442242 + ... + 197577443700.

Almost surely, 2^{288265489294689} is an apocalyptic number.

288265489294689 is the 16978383-rd square number.

288265489294689 is the 8489192-nd centered octagonal number.

It is an amenable number.

288265489294689 is a deficient number, since it is larger than the sum of its proper divisors (145237266837120).

288265489294689 is an frugal number, since it uses more digits than its factorization.

288265489294689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3798 (or 1893 counting only the distinct ones).

The product of its digits is 68797071360, while the sum is 90.

The spelling of 288265489294689 in words is "two hundred eighty-eight trillion, two hundred sixty-five billion, four hundred eighty-nine million, two hundred ninety-four thousand, six hundred eighty-nine".