993323182336 has 81 divisors (see below), whose sum is σ = 2000072227881. Its totient is φ = 492364010496.

The previous prime is 993323182307. The next prime is 993323182339. The reversal of 993323182336 is 633281323399.

The square root of 993323182336 is 996656.

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

It can be written as a sum of positive squares in only one way, i.e., 539931040000 + 453392142336 = 734800^2 + 673344^2 .

It is a super-2 number, since 2×993323182336² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (993323182339) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2663064646 + ... + 2663065018.

Almost surely, 2^993323182336 is an apocalyptic number.

993323182336 is the 996656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993323182336

993323182336 is an abundant number, since it is smaller than the sum of its proper divisors (1006749045545).

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

993323182336 is an frugal number, since it uses more digits than its factorization.

993323182336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 542 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 52.

The spelling of 993323182336 in words is "nine hundred ninety-three billion, three hundred twenty-three million, one hundred eighty-two thousand, three hundred thirty-six".