983959689216 has 864 divisors, whose sum is σ = 3337647768000. Its totient is φ = 256303595520.

The previous prime is 983959689203. The next prime is 983959689217. The reversal of 983959689216 is 612986959389.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (983959689217) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 5496981415 + ... + 5496981593.

It is an arithmetic number, because the mean of its divisors is an integer number (3863018250).

Almost surely, 2^983959689216 is an apocalyptic number.

983959689216 is a gapful number since it is divisible by the number (96) 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 983959689216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668823884000).

983959689216 is an abundant number, since it is smaller than the sum of its proper divisors (2353688078784).

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

983959689216 is a wasteful number, since it uses less digits than its factorization.

983959689216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 241 counting only the distinct ones).

The product of its digits is 453496320, while the sum is 75.

The spelling of 983959689216 in words is "nine hundred eighty-three billion, nine hundred fifty-nine million, six hundred eighty-nine thousand, two hundred sixteen".