983601045504 has 1792 divisors, whose sum is σ = 3961865502720. Its totient is φ = 236489932800.

The previous prime is 983601045467. The next prime is 983601045509. The reversal of 983601045504 is 405540106389.

983601045504 is a `hidden beast` number, since 9 + 8 + 36 + 0 + 104 + 5 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a super-2 number, since 2×983601045504² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 983601045504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (983601045509) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31729065969 + ... + 31729065999.

Almost surely, 2^983601045504 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 983601045504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980932751360).

983601045504 is an abundant number, since it is smaller than the sum of its proper divisors (2978264457216).

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

983601045504 is an equidigital number, since it uses as much as digits as its factorization.

983601045504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 983601045504 in words is "nine hundred eighty-three billion, six hundred one million, forty-five thousand, five hundred four".