165563920224 has 72 divisors (see below), whose sum is σ = 471289848120. Its totient is φ = 55133180928.

The previous prime is 165563920187. The next prime is 165563920243. The reversal of 165563920224 is 422029365561.

165563920224 is a `hidden beast` number, since 1 + 6 + 5 + 5 + 639 + 2 + 0 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×165563920224² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 165563920224.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5719 + ... + 575465.

It is an arithmetic number, because the mean of its divisors is an integer number (6545692335).

Almost surely, 2^165563920224 is an apocalyptic number.

It is an amenable number.

165563920224 is an abundant number, since it is smaller than the sum of its proper divisors (305725927896).

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

165563920224 is a wasteful number, since it uses less digits than its factorization.

165563920224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570772 (or 570761 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 165563920224 in words is "one hundred sixty-five billion, five hundred sixty-three million, nine hundred twenty thousand, two hundred twenty-four".