289131439896 has 256 divisors, whose sum is σ = 880331760000. Its totient is φ = 87391789056.

The previous prime is 289131439867. The next prime is 289131439901. The reversal of 289131439896 is 698934131982.

289131439896 is a `hidden beast` number, since 2 + 8 + 91 + 31 + 439 + 89 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39232500 + ... + 39239868.

Almost surely, 2^289131439896 is an apocalyptic number.

289131439896 is a gapful number since it is divisible by the number (26) 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 289131439896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440165880000).

289131439896 is an abundant number, since it is smaller than the sum of its proper divisors (591200320104).

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

289131439896 is a wasteful number, since it uses less digits than its factorization.

289131439896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7643 (or 7633 counting only the distinct ones).

The product of its digits is 20155392, while the sum is 63.

The spelling of 289131439896 in words is "two hundred eighty-nine billion, one hundred thirty-one million, four hundred thirty-nine thousand, eight hundred ninety-six".