205405453536 has 144 divisors (see below), whose sum is σ = 569626138368. Its totient is φ = 64800518400.

The previous prime is 205405453531. The next prime is 205405453573. The reversal of 205405453536 is 635354504502.

It is a happy number.

205405453536 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205405453531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44738601 + ... + 44743191.

It is an arithmetic number, because the mean of its divisors is an integer number (3955737072).

Almost surely, 2^205405453536 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 205405453536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284813069184).

205405453536 is an abundant number, since it is smaller than the sum of its proper divisors (364220684832).

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

205405453536 is a wasteful number, since it uses less digits than its factorization.

205405453536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5933 (or 5906 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 42.

The spelling of 205405453536 in words is "two hundred five billion, four hundred five million, four hundred fifty-three thousand, five hundred thirty-six".