993642428205 has 128 divisors (see below), whose sum is σ = 2085369446400. Its totient is φ = 439284902400.

The previous prime is 993642428159. The next prime is 993642428209. The reversal of 993642428205 is 502824246399.

993642428205 is a `hidden beast` number, since 9 + 9 + 3 + 6 + 4 + 2 + 428 + 205 = 666.

It is not a de Polignac number, because 993642428205 - 2¹² = 993642424109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993642428209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46246065 + ... + 46267545.

It is an arithmetic number, because the mean of its divisors is an integer number (16291948800).

Almost surely, 2^993642428205 is an apocalyptic number.

It is an amenable number.

993642428205 is an abundant number, since it is smaller than the sum of its proper divisors (1091727018195).

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

993642428205 is a wasteful number, since it uses less digits than its factorization.

993642428205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23112 (or 23106 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 993642428205 in words is "nine hundred ninety-three billion, six hundred forty-two million, four hundred twenty-eight thousand, two hundred five".