204253434144 has 36 divisors (see below), whose sum is σ = 580845704166. Its totient is φ = 68084477952.

The previous prime is 204253434107. The next prime is 204253434149. The reversal of 204253434144 is 441434352402.

204253434144 is a `hidden beast` number, since 2 + 0 + 42 + 534 + 3 + 41 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 197295872400 + 6957561744 = 444180^2 + 83412^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 204253434099 and 204253434108.

It is not an unprimeable number, because it can be changed into a prime (204253434149) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 354606369 + ... + 354606944.

Almost surely, 2^204253434144 is an apocalyptic number.

204253434144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

204253434144 is an abundant number, since it is smaller than the sum of its proper divisors (376592270022).

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

204253434144 is a wasteful number, since it uses less digits than its factorization.

204253434144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709213329 (or 709213318 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 204253434144 its reverse (441434352402), we get a palindrome (645687786546).

The spelling of 204253434144 in words is "two hundred four billion, two hundred fifty-three million, four hundred thirty-four thousand, one hundred forty-four".