205141292830656 has 252 divisors, whose sum is σ = 736615982865672. Its totient is φ = 54103198012416.

The previous prime is 205141292830631. The next prime is 205141292830729. The reversal of 205141292830656 is 656038292141502.

205141292830656 is a `hidden beast` number, since 2 + 0 + 5 + 1 + 41 + 292 + 8 + 306 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 279184170 + ... + 279917993.

It is an arithmetic number, because the mean of its divisors is an integer number (2923079297086).

Almost surely, 2^{205141292830656} is an apocalyptic number.

205141292830656 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

205141292830656 is an abundant number, since it is smaller than the sum of its proper divisors (531474690035016).

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

205141292830656 is a wasteful number, since it uses less digits than its factorization.

205141292830656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559102208 (or 559102188 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 205141292830656 in words is "two hundred five trillion, one hundred forty-one billion, two hundred ninety-two million, eight hundred thirty thousand, six hundred fifty-six".