205668228001 has 8 divisors (see below), whose sum is σ = 216497263520. Its totient is φ = 194839631712.

The previous prime is 205668227983. The next prime is 205668228019. The reversal of 205668228001 is 100822866502.

205668228001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (205668227983) and next prime (205668228019).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 205668228001 - 2⁹ = 205668227489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205668228061) 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 7 ways as a sum of consecutive naturals, for example, 1347106 + ... + 1491988.

It is an arithmetic number, because the mean of its divisors is an integer number (27062157940).

Almost surely, 2^205668228001 is an apocalyptic number.

It is an amenable number.

205668228001 is a deficient number, since it is larger than the sum of its proper divisors (10829035519).

205668228001 is a wasteful number, since it uses less digits than its factorization.

205668228001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219615.

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 205668228001 in words is "two hundred five billion, six hundred sixty-eight million, two hundred twenty-eight thousand, one".