993857119398 has 384 divisors, whose sum is σ = 2867543078400. Its totient is φ = 243664588800.

The previous prime is 993857119393. The next prime is 993857119433. The reversal of 993857119398 is 893911758399.

993857119398 is a `hidden beast` number, since 9 + 9 + 3 + 8 + 571 + 19 + 39 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993857119393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49042588 + ... + 49062848.

It is an arithmetic number, because the mean of its divisors is an integer number (7467560100).

Almost surely, 2^993857119398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993857119398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433771539200).

993857119398 is an abundant number, since it is smaller than the sum of its proper divisors (1873685959002).

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

993857119398 is a wasteful number, since it uses less digits than its factorization.

993857119398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20388 (or 20385 counting only the distinct ones).

The product of its digits is 132269760, while the sum is 72.

The spelling of 993857119398 in words is "nine hundred ninety-three billion, eight hundred fifty-seven million, one hundred nineteen thousand, three hundred ninety-eight".