1993903382016 has 2880 divisors, whose sum is σ = 8373544058880. Its totient is φ = 461155368960.

The previous prime is 1993903381991. The next prime is 1993903382021. The reversal of 1993903382016 is 6102833093991.

It is a happy number.

1993903382016 is a `hidden beast` number, since 19 + 9 + 3 + 90 + 338 + 201 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 64319463921 + ... + 64319463951.

It is an arithmetic number, because the mean of its divisors is an integer number (2907480576).

Almost surely, 2^{1993903382016} is an apocalyptic number.

1993903382016 is a gapful number since it is divisible by the number (16) 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 1993903382016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4186772029440).

1993903382016 is an abundant number, since it is smaller than the sum of its proper divisors (6379640676864).

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

1993903382016 is a wasteful number, since it uses less digits than its factorization.

1993903382016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 1993903382016 in words is "one trillion, nine hundred ninety-three billion, nine hundred three million, three hundred eighty-two thousand, sixteen".