983729938752 has 448 divisors, whose sum is σ = 3187076094720. Its totient is φ = 295076044800.

The previous prime is 983729938747. The next prime is 983729938871. The reversal of 983729938752 is 257839927389.

983729938752 is a `hidden beast` number, since 98 + 3 + 72 + 99 + 387 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 963496002 + ... + 963497022.

It is an arithmetic number, because the mean of its divisors is an integer number (7114009140).

Almost surely, 2^983729938752 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 983729938752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593538047360).

983729938752 is an abundant number, since it is smaller than the sum of its proper divisors (2203346155968).

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

983729938752 is a wasteful number, since it uses less digits than its factorization.

983729938752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519 (or 1503 counting only the distinct ones).

The product of its digits is 411505920, while the sum is 72.

The spelling of 983729938752 in words is "nine hundred eighty-three billion, seven hundred twenty-nine million, nine hundred thirty-eight thousand, seven hundred fifty-two".