205142346045 has 192 divisors, whose sum is σ = 441671892480. Its totient is φ = 85771892736.

The previous prime is 205142346011. The next prime is 205142346083. The reversal of 205142346045 is 540643241502.

205142346045 is a `hidden beast` number, since 2 + 0 + 5 + 1 + 42 + 3 + 4 + 604 + 5 = 666.

It is not a de Polignac number, because 205142346045 - 2⁶ = 205142345981 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 265384279 + ... + 265385051.

It is an arithmetic number, because the mean of its divisors is an integer number (2300374440).

Almost surely, 2^205142346045 is an apocalyptic number.

It is an amenable number.

205142346045 is an abundant number, since it is smaller than the sum of its proper divisors (236529546435).

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

205142346045 is a wasteful number, since it uses less digits than its factorization.

205142346045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 205142346045 its reverse (540643241502), we get a palindrome (745785587547).

The spelling of 205142346045 in words is "two hundred five billion, one hundred forty-two million, three hundred forty-six thousand, forty-five".