205441114064352 has 48 divisors (see below), whose sum is σ = 562730008095360. Its totient is φ = 65502963903872.

The previous prime is 205441114064339. The next prime is 205441114064383. The reversal of 205441114064352 is 253460411144502.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46521989202 + ... + 46521993617.

It is an arithmetic number, because the mean of its divisors is an integer number (11723541835320).

Almost surely, 2^{205441114064352} is an apocalyptic number.

It is an amenable number.

205441114064352 is an abundant number, since it is smaller than the sum of its proper divisors (357288894031008).

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

205441114064352 is a wasteful number, since it uses less digits than its factorization.

205441114064352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93043982855 (or 93043982847 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 205441114064352 in words is "two hundred five trillion, four hundred forty-one billion, one hundred fourteen million, sixty-four thousand, three hundred fifty-two".