993193236160 has 112 divisors (see below), whose sum is σ = 2430092139552. Its totient is φ = 386426880000.

The previous prime is 993193236151. The next prime is 993193236173. The reversal of 993193236160 is 61632391399.

It is a junction number, because it is equal to n+sod(n) for n = 993193236098 and 993193236107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3166410 + ... + 3465910.

It is an arithmetic number, because the mean of its divisors is an integer number (21697251246).

Almost surely, 2^993193236160 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 993193236160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215046069776).

993193236160 is an abundant number, since it is smaller than the sum of its proper divisors (1436898903392).

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

993193236160 is a wasteful number, since it uses less digits than its factorization.

993193236160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299802 (or 299792 counting only the distinct ones).

The product of its (nonzero) digits is 1417176, while the sum is 52.

The spelling of 993193236160 in words is "nine hundred ninety-three billion, one hundred ninety-three million, two hundred thirty-six thousand, one hundred sixty".