204024112160544 has 144 divisors (see below), whose sum is σ = 624890584681272. Its totient is φ = 62769944346624.

The previous prime is 204024112160543. The next prime is 204024112160597. The reversal of 204024112160544 is 445061211420402.

204024112160544 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 2 + 4 + 1 + 1 + 2 + 1 + 605 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 153319174012944 + 50704938147600 = 12382212^2 + 7120740^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 = 204024112160499 and 204024112160508.

It is not an unprimeable number, because it can be changed into a prime (204024112160543) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 32201782 + ... + 38013194.

Almost surely, 2^{204024112160544} is an apocalyptic number.

204024112160544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204024112160544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312445292340636).

204024112160544 is an abundant number, since it is smaller than the sum of its proper divisors (420866472520728).

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

204024112160544 is a wasteful number, since it uses less digits than its factorization.

204024112160544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5820819 (or 5820808 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 204024112160544 its reverse (445061211420402), we get a palindrome (649085323580946).

The spelling of 204024112160544 in words is "two hundred four trillion, twenty-four billion, one hundred twelve million, one hundred sixty thousand, five hundred forty-four".