204181074496 has 63 divisors (see below), whose sum is σ = 471380739609. Its totient is φ = 87495330048.

The previous prime is 204181074491. The next prime is 204181074499. The reversal of 204181074496 is 694470181402.

The square root of 204181074496 is 451864.

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., 455224896 + 203725849600 = 21336^2 + 451360^2 .

It is a super-2 number, since 2×204181074496² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (204181074491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25300350 + ... + 25308418.

Almost surely, 2^204181074496 is an apocalyptic number.

204181074496 is the 451864-th square number.

It is an amenable number.

204181074496 is an abundant number, since it is smaller than the sum of its proper divisors (267199665113).

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

204181074496 is an frugal number, since it uses more digits than its factorization.

204181074496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16164 (or 8078 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 204181074496 in words is "two hundred four billion, one hundred eighty-one million, seventy-four thousand, four hundred ninety-six".