204661428945408 has 480 divisors, whose sum is σ = 652707356805504. Its totient is φ = 63798438592512.

The previous prime is 204661428945401. The next prime is 204661428945419. The reversal of 204661428945408 is 804549824166402.

It is a happy number.

204661428945408 is a `hidden beast` number, since 2 + 0 + 4 + 6 + 6 + 1 + 4 + 2 + 89 + 4 + 540 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (204661428945401) 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 47 ways as a sum of consecutive naturals, for example, 331758141 + ... + 332374467.

Almost surely, 2^{204661428945408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204661428945408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326353678402752).

204661428945408 is an abundant number, since it is smaller than the sum of its proper divisors (448045927860096).

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

204661428945408 is an equidigital number, since it uses as much as digits as its factorization.

204661428945408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616534 (or 616506 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 63.

The spelling of 204661428945408 in words is "two hundred four trillion, six hundred sixty-one billion, four hundred twenty-eight million, nine hundred forty-five thousand, four hundred eight".