993798481536 has 960 divisors, whose sum is σ = 3801906694080. Its totient is φ = 255569707008.

The previous prime is 993798481483. The next prime is 993798481549. The reversal of 993798481536 is 635184897399.

993798481536 is a `hidden beast` number, since 9 + 9 + 3 + 7 + 9 + 8 + 4 + 81 + 536 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 198638011 + ... + 198643013.

It is an arithmetic number, because the mean of its divisors is an integer number (3960319473).

Almost surely, 2^993798481536 is an apocalyptic number.

993798481536 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 993798481536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900953347040).

993798481536 is an abundant number, since it is smaller than the sum of its proper divisors (2808108212544).

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

993798481536 is a wasteful number, since it uses less digits than its factorization.

993798481536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5083 (or 5055 counting only the distinct ones).

The product of its digits is 352719360, while the sum is 72.

The spelling of 993798481536 in words is "nine hundred ninety-three billion, seven hundred ninety-eight million, four hundred eighty-one thousand, five hundred thirty-six".