165581605224 has 96 divisors (see below), whose sum is σ = 529047267840. Its totient is φ = 45782928000.

The previous prime is 165581605187. The next prime is 165581605237. The reversal of 165581605224 is 422506185561.

165581605224 is a `hidden beast` number, since 1 + 6 + 5 + 581 + 60 + 5 + 2 + 2 + 4 = 666.

165581605224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 165581605224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5283327 + ... + 5314574.

It is an arithmetic number, because the mean of its divisors is an integer number (5510909040).

Almost surely, 2^165581605224 is an apocalyptic number.

165581605224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

165581605224 is an abundant number, since it is smaller than the sum of its proper divisors (363465662616).

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

165581605224 is a wasteful number, since it uses less digits than its factorization.

165581605224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10597951 (or 10597944 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 165581605224 in words is "one hundred sixty-five billion, five hundred eighty-one million, six hundred five thousand, two hundred twenty-four".