289086264436369 has 9 divisors (see below), whose sum is σ = 290138391630801. Its totient is φ = 288037939012560.

The previous prime is 289086264436351. The next prime is 289086264436397. The reversal of 289086264436369 is 963634462680982.

The square root of 289086264436369 is 17002537.

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 195486676539025 + 93599587897344 = 13981655^2 + 9674688^2 .

It is not a de Polignac number, because 289086264436369 - 2²⁵ = 289086230881937 is a prime.

It is a super-2 number, since 2×289086264436369² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 289086264436295 and 289086264436304.

It is not an unprimeable number, because it can be changed into a prime (289086264436169) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4709672059 + ... + 4709733439.

It is an arithmetic number, because the mean of its divisors is an integer number (32237599070089).

Almost surely, 2^{289086264436369} is an apocalyptic number.

289086264436369 is the 17002537-th square number.

289086264436369 is the 8501269-th centered octagonal number.

It is an amenable number.

289086264436369 is a deficient number, since it is larger than the sum of its proper divisors (1052127194432).

289086264436369 is an frugal number, since it uses more digits than its factorization.

289086264436369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123316 (or 61658 counting only the distinct ones).

The product of its (nonzero) digits is 3869835264, while the sum is 76.

The spelling of 289086264436369 in words is "two hundred eighty-nine trillion, eighty-six billion, two hundred sixty-four million, four hundred thirty-six thousand, three hundred sixty-nine".