204269649444 has 405 divisors, whose sum is σ = 663017003649. Its totient is φ = 54669323520.

The previous prime is 204269649413. The next prime is 204269649473. The reversal of 204269649444 is 444946962402.

The square root of 204269649444 is 451962.

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

204269649444 is a `hidden beast` number, since 2 + 0 + 4 + 26 + 96 + 494 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 159033464100 + 45236185344 = 398790^2 + 212688^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 968102499 + ... + 968102709.

Almost surely, 2^204269649444 is an apocalyptic number.

204269649444 is the 451962-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204269649444

204269649444 is an abundant number, since it is smaller than the sum of its proper divisors (458747354205).

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

204269649444 is a wasteful number, since it uses less digits than its factorization.

204269649444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 204269649444 in words is "two hundred four billion, two hundred sixty-nine million, six hundred forty-nine thousand, four hundred forty-four".