204148541584 has 45 divisors (see below), whose sum is σ = 428353542603. Its totient is φ = 94211559936.

The previous prime is 204148541579. The next prime is 204148541599. The reversal of 204148541584 is 485145841402.

The square root of 204148541584 is 451828.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1043290000 + 203105251584 = 32300^2 + 450672^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23490712 + ... + 23499400.

Almost surely, 2^204148541584 is an apocalyptic number.

204148541584 is the 451828-th square number.

It is an amenable number.

204148541584 is an abundant number, since it is smaller than the sum of its proper divisors (224205001019).

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

204148541584 is an frugal number, since it uses more digits than its factorization.

204148541584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17412 (or 8704 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 46.

The spelling of 204148541584 in words is "two hundred four billion, one hundred forty-eight million, five hundred forty-one thousand, five hundred eighty-four".