205024217616 has 135 divisors (see below), whose sum is σ = 581253540231. Its totient is φ = 67462981632.

The previous prime is 205024217579. The next prime is 205024217621. The reversal of 205024217616 is 616712420502.

It is a happy number.

The square root of 205024217616 is 452796.

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

205024217616 is a `hidden beast` number, since 2 + 0 + 5 + 0 + 24 + 2 + 17 + 616 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21415395600 + 183608822016 = 146340^2 + 428496^2 .

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 26 ways as a sum of consecutive naturals, for example, 527054350 + ... + 527054738.

Almost surely, 2^205024217616 is an apocalyptic number.

205024217616 is the 452796-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205024217616

205024217616 is an abundant number, since it is smaller than the sum of its proper divisors (376229322615).

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

205024217616 is an frugal number, since it uses more digits than its factorization.

205024217616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Multiplying 205024217616 by its sum of digits (36), we get a square (7380871834176 = 2716776²).

205024217616 divided by its sum of digits (36) gives a square (5695117156 = 75466²).

The spelling of 205024217616 in words is "two hundred five billion, twenty-four million, two hundred seventeen thousand, six hundred sixteen".