204066456048 has 960 divisors, whose sum is σ = 774533760000. Its totient is φ = 49673336832.

The previous prime is 204066456047. The next prime is 204066456127. The reversal of 204066456048 is 840654660402.

204066456048 is a `hidden beast` number, since 2 + 0 + 40 + 6 + 6 + 4 + 560 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 204066455994 and 204066456012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204066456047) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 524592238 + ... + 524592626.

It is an arithmetic number, because the mean of its divisors is an integer number (806806000).

Almost surely, 2^204066456048 is an apocalyptic number.

204066456048 is a gapful number since it is divisible by the number (28) 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 204066456048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387266880000).

204066456048 is an abundant number, since it is smaller than the sum of its proper divisors (570467303952).

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

204066456048 is a wasteful number, since it uses less digits than its factorization.

204066456048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 204066456048 in words is "two hundred four billion, sixty-six million, four hundred fifty-six thousand, forty-eight".