993721884736 has 105 divisors (see below), whose sum is σ = 2301337763711. Its totient is φ = 425713335936.

The previous prime is 993721884733. The next prime is 993721884763. The reversal of 993721884736 is 637488127399.

The square root of 993721884736 is 996856.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (993721884733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 390766281 + ... + 390768823.

Almost surely, 2^993721884736 is an apocalyptic number.

993721884736 is the 996856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993721884736

993721884736 is an abundant number, since it is smaller than the sum of its proper divisors (1307615878975).

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

993721884736 is an frugal number, since it uses more digits than its factorization.

993721884736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5126 (or 2552 counting only the distinct ones).

The product of its digits is 109734912, while the sum is 67.

The spelling of 993721884736 in words is "nine hundred ninety-three billion, seven hundred twenty-one million, eight hundred eighty-four thousand, seven hundred thirty-six".