205648380392 has 128 divisors (see below), whose sum is σ = 500659219200. Its totient is φ = 76902524928.

The previous prime is 205648380391. The next prime is 205648380397. The reversal of 205648380392 is 293083846502.

205648380392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 205648380392.

It is not an unprimeable number, because it can be changed into a prime (205648380391) 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 31 ways as a sum of consecutive naturals, for example, 6304958 + ... + 6337490.

It is an arithmetic number, because the mean of its divisors is an integer number (3911400150).

Almost surely, 2^205648380392 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 205648380392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250329609600).

205648380392 is an abundant number, since it is smaller than the sum of its proper divisors (295010838808).

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

205648380392 is a wasteful number, since it uses less digits than its factorization.

205648380392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33035 (or 33031 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 50.

The spelling of 205648380392 in words is "two hundred five billion, six hundred forty-eight million, three hundred eighty thousand, three hundred ninety-two".