983808984576 has 640 divisors, whose sum is σ = 3077288755200. Its totient is φ = 276369408000.

The previous prime is 983808984559. The next prime is 983808984577. The reversal of 983808984576 is 675489808389.

It is a junction number, because it is equal to n+sod(n) for n = 983808984498 and 983808984507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (983808984577) by changing a digit.

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, 3630291321 + ... + 3630291591.

It is an arithmetic number, because the mean of its divisors is an integer number (4808263680).

Almost surely, 2^983808984576 is an apocalyptic number.

983808984576 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 983808984576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538644377600).

983808984576 is an abundant number, since it is smaller than the sum of its proper divisors (2093479770624).

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

983808984576 is a wasteful number, since it uses less digits than its factorization.

983808984576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 75.

The spelling of 983808984576 in words is "nine hundred eighty-three billion, eight hundred eight million, nine hundred eighty-four thousand, five hundred seventy-six".