993459398112 has 144 divisors (see below), whose sum is σ = 2846602362240. Its totient is φ = 328642848000.

The previous prime is 993459398089. The next prime is 993459398167. The reversal of 993459398112 is 211893954399.

993459398112 is a `hidden beast` number, since 9 + 9 + 34 + 593 + 9 + 8 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 993459398112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47434939 + ... + 47455877.

It is an arithmetic number, because the mean of its divisors is an integer number (19768071960).

Almost surely, 2^993459398112 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 993459398112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423301181120).

993459398112 is an abundant number, since it is smaller than the sum of its proper divisors (1853142964128).

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

993459398112 is a wasteful number, since it uses less digits than its factorization.

993459398112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22197 (or 22186 counting only the distinct ones).

The product of its digits is 18895680, while the sum is 63.

The spelling of 993459398112 in words is "nine hundred ninety-three billion, four hundred fifty-nine million, three hundred ninety-eight thousand, one hundred twelve".