288469265890689 has 81 divisors (see below), whose sum is σ = 453148574271939. Its totient is φ = 176754435755040.

The previous prime is 288469265890667. The next prime is 288469265890697. The reversal of 288469265890689 is 986098562964882.

It is a happy number.

The square root of 288469265890689 is 16984383.

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

288469265890689 is a `hidden beast` number, since 2 + 8 + 8 + 469 + 2 + 6 + 5 + 89 + 0 + 68 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42672968327025 + 245796297563664 = 6532455^2 + 15677892^2 .

It is not a de Polignac number, because 288469265890689 - 2²¹ = 288469263793537 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 288469265890599 and 288469265890608.

It is not an unprimeable number, because it can be changed into a prime (288469265890649) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 179507943124 + ... + 179507944730.

Almost surely, 2^{288469265890689} is an apocalyptic number.

288469265890689 is the 16984383-rd square number.

288469265890689 is the 8492192-nd centered octagonal number.

It is an amenable number.

288469265890689 is a deficient number, since it is larger than the sum of its proper divisors (164679308381250).

288469265890689 is an frugal number, since it uses more digits than its factorization.

288469265890689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3788 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 51597803520, while the sum is 90.

The spelling of 288469265890689 in words is "two hundred eighty-eight trillion, four hundred sixty-nine billion, two hundred sixty-five million, eight hundred ninety thousand, six hundred eighty-nine".