205125466434 has 64 divisors (see below), whose sum is σ = 486958832640. Its totient is φ = 56360808000.

The previous prime is 205125466411. The next prime is 205125466451. The reversal of 205125466434 is 434664521502.

It is a happy number.

205125466434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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, 29764 + ... + 641199.

It is an arithmetic number, because the mean of its divisors is an integer number (7608731760).

Almost surely, 2^205125466434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205125466434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243479416320).

205125466434 is an abundant number, since it is smaller than the sum of its proper divisors (281833366206).

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

205125466434 is a wasteful number, since it uses less digits than its factorization.

205125466434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671255.

The product of its (nonzero) digits is 691200, while the sum is 42.

Adding to 205125466434 its reverse (434664521502), we get a palindrome (639789987936).

The spelling of 205125466434 in words is "two hundred five billion, one hundred twenty-five million, four hundred sixty-six thousand, four hundred thirty-four".