204531142113441 has 80 divisors (see below), whose sum is σ = 377841306575040. Its totient is φ = 108400752420480.

The previous prime is 204531142113343. The next prime is 204531142113449. The reversal of 204531142113441 is 144311241135402.

204531142113441 is a `hidden beast` number, since 2 + 0 + 4 + 53 + 11 + 42 + 113 + 441 = 666.

It is not a de Polignac number, because 204531142113441 - 2¹⁷ = 204531141982369 is a prime.

It is a super-2 number, since 2×204531142113441² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 204531142113396 and 204531142113405.

It is not an unprimeable number, because it can be changed into a prime (204531142113449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 464460790 + ... + 464900943.

It is an arithmetic number, because the mean of its divisors is an integer number (4723016332188).

Almost surely, 2^{204531142113441} is an apocalyptic number.

It is an amenable number.

204531142113441 is a deficient number, since it is larger than the sum of its proper divisors (173310164461599).

204531142113441 is a wasteful number, since it uses less digits than its factorization.

204531142113441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929361788 (or 929361779 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 204531142113441 its reverse (144311241135402), we get a palindrome (348842383248843).

The spelling of 204531142113441 in words is "two hundred four trillion, five hundred thirty-one billion, one hundred forty-two million, one hundred thirteen thousand, four hundred forty-one".