289789968384 has 304 divisors, whose sum is σ = 981465264000. Its totient is φ = 82782978048.

The previous prime is 289789968383. The next prime is 289789968443. The reversal of 289789968384 is 483869987982.

289789968384 is a `hidden beast` number, since 2 + 8 + 97 + 8 + 99 + 68 + 384 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289789968383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49542292 + ... + 49548140.

Almost surely, 2^289789968384 is an apocalyptic number.

289789968384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289789968384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490732632000).

289789968384 is an abundant number, since it is smaller than the sum of its proper divisors (691675295616).

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

289789968384 is an frugal number, since it uses more digits than its factorization.

289789968384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5901 (or 5861 counting only the distinct ones).

The product of its digits is 3009871872, while the sum is 81.

The spelling of 289789968384 in words is "two hundred eighty-nine billion, seven hundred eighty-nine million, nine hundred sixty-eight thousand, three hundred eighty-four".