989617316688 has 960 divisors, whose sum is σ = 4005823610880. Its totient is φ = 219610828800.

The previous prime is 989617316687. The next prime is 989617316713. The reversal of 989617316688 is 886613716989.

989617316688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 (989617316687) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 102769858 + ... + 102779486.

It is an arithmetic number, because the mean of its divisors is an integer number (4172732928).

Almost surely, 2^989617316688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 989617316688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002911805440).

989617316688 is an abundant number, since it is smaller than the sum of its proper divisors (3016206294192).

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

989617316688 is a wasteful number, since it uses less digits than its factorization.

989617316688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9728 (or 9719 counting only the distinct ones).

The product of its digits is 188116992, while the sum is 72.

The spelling of 989617316688 in words is "nine hundred eighty-nine billion, six hundred seventeen million, three hundred sixteen thousand, six hundred eighty-eight".