204509486448 has 160 divisors (see below), whose sum is σ = 606394521600. Its totient is φ = 65922854400.

The previous prime is 204509486393. The next prime is 204509486471. The reversal of 204509486448 is 844684905402.

It is a happy number.

204509486448 is a `hidden beast` number, since 2 + 0 + 450 + 94 + 8 + 64 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 204509486394 and 204509486403.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 21542983 + ... + 21552473.

It is an arithmetic number, because the mean of its divisors is an integer number (3789965760).

Almost surely, 2^204509486448 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 204509486448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303197260800).

204509486448 is an abundant number, since it is smaller than the sum of its proper divisors (401885035152).

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

204509486448 is a wasteful number, since it uses less digits than its factorization.

204509486448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11148 (or 11136 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 204509486448 in words is "two hundred four billion, five hundred nine million, four hundred eighty-six thousand, four hundred forty-eight".