993368982816 has 576 divisors, whose sum is σ = 3564128977920. Its totient is φ = 267950592000.

The previous prime is 993368982799. The next prime is 993368982869. The reversal of 993368982816 is 618289863399.

993368982816 is a `hidden beast` number, since 9 + 9 + 336 + 8 + 9 + 8 + 281 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53799826 + ... + 53818286.

It is an arithmetic number, because the mean of its divisors is an integer number (6187723920).

Almost surely, 2^993368982816 is an apocalyptic number.

993368982816 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 993368982816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782064488960).

993368982816 is an abundant number, since it is smaller than the sum of its proper divisors (2570759995104).

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

993368982816 is a wasteful number, since it uses less digits than its factorization.

993368982816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18566 (or 18545 counting only the distinct ones).

The product of its digits is 241864704, while the sum is 72.

The spelling of 993368982816 in words is "nine hundred ninety-three billion, three hundred sixty-eight million, nine hundred eighty-two thousand, eight hundred sixteen".