993804312000 has 448 divisors, whose sum is σ = 3379540469760. Its totient is φ = 257140224000.

The previous prime is 993804311999. The next prime is 993804312019. The reversal of 993804312000 is 213408399.

It is a self number, because there is not a number n which added to its sum of digits gives 993804312000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 372070665 + ... + 372073335.

It is an arithmetic number, because the mean of its divisors is an integer number (7543617120).

Almost surely, 2^993804312000 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 993804312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689770234880).

993804312000 is an abundant number, since it is smaller than the sum of its proper divisors (2385736157760).

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

993804312000 is a wasteful number, since it uses less digits than its factorization.

993804312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3157 (or 3137 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 993804312000 in words is "nine hundred ninety-three billion, eight hundred four million, three hundred twelve thousand".