289606558401 has 12 divisors (see below), whose sum is σ = 418479494628. Its totient is φ = 192997695744.

The previous prime is 289606558399. The next prime is 289606558433. The reversal of 289606558401 is 104855606982.

289606558401 is a `hidden beast` number, since 2 + 89 + 6 + 0 + 6 + 558 + 4 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 74843827776 + 214762730625 = 273576^2 + 463425^2 .

It is not a de Polignac number, because 289606558401 - 2¹ = 289606558399 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (289606558001) 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 11 ways as a sum of consecutive naturals, for example, 6086920 + ... + 6134313.

It is an arithmetic number, because the mean of its divisors is an integer number (34873291219).

Almost surely, 2^289606558401 is an apocalyptic number.

It is an amenable number.

289606558401 is a deficient number, since it is larger than the sum of its proper divisors (128872936227).

289606558401 is a wasteful number, since it uses less digits than its factorization.

289606558401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12223872 (or 12223869 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 289606558401 in words is "two hundred eighty-nine billion, six hundred six million, five hundred fifty-eight thousand, four hundred one".