993326368944 has 320 divisors, whose sum is σ = 3214834237440. Its totient is φ = 257325465600.

The previous prime is 993326368939. The next prime is 993326368949. The reversal of 993326368944 is 449863623399.

993326368944 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (993326368939) and next prime (993326368949).

It is not an unprimeable number, because it can be changed into a prime (993326368949) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56019472 + ... + 56037200.

It is an arithmetic number, because the mean of its divisors is an integer number (10046356992).

Almost surely, 2^993326368944 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 993326368944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607417118720).

993326368944 is an abundant number, since it is smaller than the sum of its proper divisors (2221507868496).

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

993326368944 is a wasteful number, since it uses less digits than its factorization.

993326368944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17988 (or 17982 counting only the distinct ones).

The product of its digits is 181398528, while the sum is 66.

The spelling of 993326368944 in words is "nine hundred ninety-three billion, three hundred twenty-six million, three hundred sixty-eight thousand, nine hundred forty-four".