205381532232 has 180 divisors, whose sum is σ = 607777374105. Its totient is φ = 64788107904.

The previous prime is 205381532203. The next prime is 205381532243. The reversal of 205381532232 is 232235183502.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

205381532232 is a `hidden beast` number, since 2 + 0 + 5 + 381 + 53 + 223 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 148559368356 + 56822163876 = 385434^2 + 238374^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=320454.

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

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, 219190068 + ... + 219191004.

Almost surely, 2^205381532232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205381532232

205381532232 is an abundant number, since it is smaller than the sum of its proper divisors (402395841873).

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

205381532232 is an frugal number, since it uses more digits than its factorization.

205381532232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 961 counting only the distinct ones).

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

The spelling of 205381532232 in words is "two hundred five billion, three hundred eighty-one million, five hundred thirty-two thousand, two hundred thirty-two".