205945331344 has 15 divisors (see below), whose sum is σ = 399022596553. Its totient is φ = 102971758048.

The previous prime is 205945331329. The next prime is 205945331363. The reversal of 205945331344 is 443133549502.

The square root of 205945331344 is 453812.

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

205945331344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 65853824400 + 140091506944 = 256620^2 + 374288^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 205945331344.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1758522 + ... + 1871974.

Almost surely, 2^205945331344 is an apocalyptic number.

205945331344 is the 453812-nd square number.

It is an amenable number.

205945331344 is a deficient number, since it is larger than the sum of its proper divisors (193077265209).

205945331344 is an frugal number, since it uses more digits than its factorization.

205945331344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226914 (or 113455 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 43.

It can be divided in two parts, 205945 and 331344, that added together give a square (537289 = 733²).

The spelling of 205945331344 in words is "two hundred five billion, nine hundred forty-five million, three hundred thirty-one thousand, three hundred forty-four".