204966263824 has 405 divisors, whose sum is σ = 523818405117. Its totient is φ = 77449768704.

The previous prime is 204966263819. The next prime is 204966263837. The reversal of 204966263824 is 428362669402.

The square root of 204966263824 is 452732.

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., 183406627600 + 21559636224 = 428260^2 + 146832^2 .

It is a super-2 number, since 2×204966263824² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5539628734 + ... + 5539628770.

Almost surely, 2^204966263824 is an apocalyptic number.

204966263824 is the 452732-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204966263824

204966263824 is an abundant number, since it is smaller than the sum of its proper divisors (318852141293).

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

204966263824 is a wasteful number, since it uses less digits than its factorization.

204966263824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 52.

The spelling of 204966263824 in words is "two hundred four billion, nine hundred sixty-six million, two hundred sixty-three thousand, eight hundred twenty-four".