205363048900 has 27 divisors (see below), whose sum is σ = 445647650119. Its totient is φ = 82143406880.

The previous prime is 205363048897. The next prime is 205363048903. The reversal of 205363048900 is 9840363502.

The square root of 205363048900 is 453170.

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

205363048900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (205363048897) and next prime (205363048903).

It can be written as a sum of positive squares in 4 ways, for example, as 14736503236 + 190626545664 = 121394^2 + 436608^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205363048903) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4509042 + ... + 4554358.

Almost surely, 2^205363048900 is an apocalyptic number.

205363048900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

205363048900 is the 453170-th square number.

It is an amenable number.

205363048900 is an abundant number, since it is smaller than the sum of its proper divisors (240284601219).

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

205363048900 is an frugal number, since it uses more digits than its factorization.

205363048900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90648 (or 45324 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 205363048900 in words is "two hundred five billion, three hundred sixty-three million, forty-eight thousand, nine hundred".