983913216000 has 2304 divisors, whose sum is σ = 4217315880960. Its totient is φ = 200540160000.

The previous prime is 983913215993. The next prime is 983913216053. The reversal of 983913216000 is 612319389.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31739135985 + ... + 31739136015.

It is an arithmetic number, because the mean of its divisors is an integer number (1830432240).

Almost surely, 2^983913216000 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 983913216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108657940480).

983913216000 is an abundant number, since it is smaller than the sum of its proper divisors (3233402664960).

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

983913216000 is a wasteful number, since it uses less digits than its factorization.

983913216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The spelling of 983913216000 in words is "nine hundred eighty-three billion, nine hundred thirteen million, two hundred sixteen thousand".