205646446225 has 48 divisors (see below), whose sum is σ = 279549536256. Its totient is φ = 148828104000.

The previous prime is 205646446189. The next prime is 205646446273. The reversal of 205646446225 is 522644646502.

It is not a de Polignac number, because 205646446225 - 2⁹ = 205646445713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107836722 + ... + 107838628.

It is an arithmetic number, because the mean of its divisors is an integer number (5823948672).

Almost surely, 2^205646446225 is an apocalyptic number.

205646446225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205646446225 is a deficient number, since it is larger than the sum of its proper divisors (73903090031).

205646446225 is a wasteful number, since it uses less digits than its factorization.

205646446225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3646 (or 3641 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 46.

The spelling of 205646446225 in words is "two hundred five billion, six hundred forty-six million, four hundred forty-six thousand, two hundred twenty-five".