983688313888 has 432 divisors, whose sum is σ = 2578644240480. Its totient is φ = 367018573824.

The previous prime is 983688313879. The next prime is 983688313889. The reversal of 983688313888 is 888313886389.

It is a self number, because there is not a number n which added to its sum of digits gives 983688313888.

It is not an unprimeable number, because it can be changed into a prime (983688313889) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 370223856 + ... + 370226512.

It is an arithmetic number, because the mean of its divisors is an integer number (5969083890).

Almost surely, 2^983688313888 is an apocalyptic number.

983688313888 is a gapful number since it is divisible by the number (98) 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 983688313888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289322120240).

983688313888 is an abundant number, since it is smaller than the sum of its proper divisors (1594955926592).

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

983688313888 is a wasteful number, since it uses less digits than its factorization.

983688313888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2777 (or 2745 counting only the distinct ones).

The product of its digits is 382205952, while the sum is 73.

The spelling of 983688313888 in words is "nine hundred eighty-three billion, six hundred eighty-eight million, three hundred thirteen thousand, eight hundred eighty-eight".