205350360336 has 135 divisors (see below), whose sum is σ = 631874483877. Its totient is φ = 62209255680.

The previous prime is 205350360283. The next prime is 205350360359. The reversal of 205350360336 is 633063053502.

The square root of 205350360336 is 453156.

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

It can be written as a sum of positive squares in only one way, i.e., 67964490000 + 137385870336 = 260700^2 + 370656^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 205350360336.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 59814876 + ... + 59818308.

Almost surely, 2^205350360336 is an apocalyptic number.

205350360336 is the 453156-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205350360336

205350360336 is an abundant number, since it is smaller than the sum of its proper divisors (426524123541).

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

205350360336 is an equidigital number, since it uses as much as digits as its factorization.

205350360336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6902 (or 3449 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 36.

Multiplying 205350360336 by its sum of digits (36), we get a square (7392612972096 = 2718936²).

205350360336 divided by its sum of digits (36) gives a square (5704176676 = 75526²).

The spelling of 205350360336 in words is "two hundred five billion, three hundred fifty million, three hundred sixty thousand, three hundred thirty-six".