289560219664 has 45 divisors (see below), whose sum is σ = 586576048093. Its totient is φ = 138461645696.

The previous prime is 289560219629. The next prime is 289560219691. The reversal of 289560219664 is 466912065982.

The square root of 289560219664 is 538108.

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., 97786293264 + 191773926400 = 312708^2 + 437920^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 289560219599 and 289560219608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 49503012 + ... + 49508860.

Almost surely, 2^289560219664 is an apocalyptic number.

289560219664 is the 538108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289560219664

289560219664 is an abundant number, since it is smaller than the sum of its proper divisors (297015828429).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

289560219664 is an frugal number, since it uses more digits than its factorization.

289560219664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11752 (or 5874 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 58.

The spelling of 289560219664 in words is "two hundred eighty-nine billion, five hundred sixty million, two hundred nineteen thousand, six hundred sixty-four".