205230744576 has 825 divisors, whose sum is σ = 729986841705. Its totient is φ = 57407201280.

The previous prime is 205230744571. The next prime is 205230744601. The reversal of 205230744576 is 675447032502.

The square root of 205230744576 is 453024.

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

205230744576 is a `hidden beast` number, since 2 + 0 + 5 + 2 + 3 + 0 + 74 + 4 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30359577600 + 174871166976 = 174240^2 + 418176^2 .

It is not an unprimeable number, because it can be changed into a prime (205230744571) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 15786980346 + ... + 15786980358.

Almost surely, 2^205230744576 is an apocalyptic number.

205230744576 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

205230744576 is the 453024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205230744576

205230744576 is an abundant number, since it is smaller than the sum of its proper divisors (524756097129).

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

205230744576 is an frugal number, since it uses more digits than its factorization.

205230744576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 205230744576 in words is "two hundred five billion, two hundred thirty million, seven hundred forty-four thousand, five hundred seventy-six".