204033344443104 has 192 divisors, whose sum is σ = 585921512010240. Its totient is φ = 61654424832000.

The previous prime is 204033344443091. The next prime is 204033344443133. The reversal of 204033344443104 is 401344443330402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1027315842 + ... + 1027514430.

It is an arithmetic number, because the mean of its divisors is an integer number (3051674541720).

Almost surely, 2^{204033344443104} is an apocalyptic number.

204033344443104 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 204033344443104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292960756005120).

204033344443104 is an abundant number, since it is smaller than the sum of its proper divisors (381888167567136).

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

204033344443104 is a wasteful number, since it uses less digits than its factorization.

204033344443104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201345 (or 201337 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 39.

Adding to 204033344443104 its reverse (401344443330402), we get a palindrome (605377787773506).

The spelling of 204033344443104 in words is "two hundred four trillion, thirty-three billion, three hundred forty-four million, four hundred forty-three thousand, one hundred four".