165364222500 has 135 divisors (see below), whose sum is σ = 522530551543. Its totient is φ = 44080860000.

The previous prime is 165364222483. The next prime is 165364222549. The reversal of 165364222500 is 5222463561.

The square root of 165364222500 is 406650.

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

165364222500 is a `hidden beast` number, since 1 + 6 + 5 + 3 + 642 + 2 + 2 + 5 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12964555044 + 152399667456 = 113862^2 + 390384^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 60996145 + ... + 60998855.

Almost surely, 2^165364222500 is an apocalyptic number.

165364222500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

165364222500 is the 406650-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165364222500

165364222500 is an abundant number, since it is smaller than the sum of its proper divisors (357166329043).

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

165364222500 is an frugal number, since it uses more digits than its factorization.

165364222500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5452 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Multiplying 165364222500 by its sum of digits (36), we get a square (5953112010000 = 2439900²).

165364222500 divided by its sum of digits (36) gives a square (4593450625 = 67775²).

The spelling of 165364222500 in words is "one hundred sixty-five billion, three hundred sixty-four million, two hundred twenty-two thousand, five hundred".