289306288384 has 27 divisors (see below), whose sum is σ = 577499652877. Its totient is φ = 144648841216.

The previous prime is 289306288339. The next prime is 289306288399. The reversal of 289306288384 is 483882603982.

The square root of 289306288384 is 537872.

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

It can be written as a sum of positive squares in only one way, i.e., 36771897600 + 252534390784 = 191760^2 + 502528^2 .

It is a Duffinian number.

It is an unprimeable number.

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 2 ways as a sum of consecutive naturals, for example, 8589144 + ... + 8622760.

Almost surely, 2^289306288384 is an apocalyptic number.

289306288384 is the 537872-nd square number.

It is an amenable number.

289306288384 is a deficient number, since it is larger than the sum of its proper divisors (288193364493).

289306288384 is an frugal number, since it uses more digits than its factorization.

289306288384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67250 (or 33619 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 61.

The spelling of 289306288384 in words is "two hundred eighty-nine billion, three hundred six million, two hundred eighty-eight thousand, three hundred eighty-four".