289584656368 has 80 divisors (see below), whose sum is σ = 662087337984. Its totient is φ = 120071658240.

The previous prime is 289584656363. The next prime is 289584656377. The reversal of 289584656368 is 863656485982.

It is a junction number, because it is equal to n+sod(n) for n = 289584656297 and 289584656306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289584656363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16090671 + ... + 16108657.

Almost surely, 2^289584656368 is an apocalyptic number.

289584656368 is a gapful number since it is divisible by the number (28) 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 289584656368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331043668992).

289584656368 is an abundant number, since it is smaller than the sum of its proper divisors (372502681616).

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

289584656368 is a wasteful number, since it uses less digits than its factorization.

289584656368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22670 (or 22664 counting only the distinct ones).

The product of its digits is 597196800, while the sum is 70.

The spelling of 289584656368 in words is "two hundred eighty-nine billion, five hundred eighty-four million, six hundred fifty-six thousand, three hundred sixty-eight".