983381430393600 has 1728 divisors, whose sum is σ = 3955874935799808. Its totient is φ = 210408726528000.

The previous prime is 983381430393517. The next prime is 983381430393601. The reversal of 983381430393600 is 6393034183389.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (983381430393601) 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, 15678131839 + ... + 15678194561.

It is an arithmetic number, because the mean of its divisors is an integer number (2289279476736).

Almost surely, 2^{983381430393600} 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 983381430393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1977937467899904).

983381430393600 is an abundant number, since it is smaller than the sum of its proper divisors (2972493505406208).

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

983381430393600 is a wasteful number, since it uses less digits than its factorization.

983381430393600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62914 (or 62895 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 60.

The spelling of 983381430393600 in words is "nine hundred eighty-three trillion, three hundred eighty-one billion, four hundred thirty million, three hundred ninety-three thousand, six hundred".