205705948736 has 56 divisors (see below), whose sum is σ = 417291194880. Its totient is φ = 100579980800.

The previous prime is 205705948729. The next prime is 205705948753. The reversal of 205705948736 is 637849507502.

205705948736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 578606 + ... + 863826.

It is an arithmetic number, because the mean of its divisors is an integer number (7451628480).

Almost surely, 2^205705948736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205705948736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208645597440).

205705948736 is an abundant number, since it is smaller than the sum of its proper divisors (211585246144).

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

205705948736 is a wasteful number, since it uses less digits than its factorization.

205705948736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285483 (or 285473 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 56.

The spelling of 205705948736 in words is "two hundred five billion, seven hundred five million, nine hundred forty-eight thousand, seven hundred thirty-six".