165585784304196 has 405 divisors, whose sum is σ = 458367835075059. Its totient is φ = 50401437235200.

The previous prime is 165585784304153. The next prime is 165585784304201. The reversal of 165585784304196 is 691403487585561.

The square root of 165585784304196 is 12868014.

It is a perfect power (a square), and thus also a powerful number.

165585784304196 is a `hidden beast` number, since 1 + 6 + 5 + 5 + 8 + 57 + 84 + 304 + 196 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 104391461921796 + 61194322382400 = 10217214^2 + 7822680^2 .

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 914838587226 + ... + 914838587406.

Almost surely, 2^{165585784304196} is an apocalyptic number.

165585784304196 is the 12868014-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165585784304196

165585784304196 is an abundant number, since it is smaller than the sum of its proper divisors (292782050770863).

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

165585784304196 is an frugal number, since it uses more digits than its factorization.

165585784304196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 870912000, while the sum is 72.

The spelling of 165585784304196 in words is "one hundred sixty-five trillion, five hundred eighty-five billion, seven hundred eighty-four million, three hundred four thousand, one hundred ninety-six".