205452439956 has 108 divisors (see below), whose sum is σ = 541676667168. Its totient is φ = 68180477328.

The previous prime is 205452439937. The next prime is 205452439957. The reversal of 205452439956 is 659934254502.

205452439956 is a `hidden beast` number, since 2 + 0 + 545 + 2 + 4 + 3 + 9 + 95 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205452439957) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 5940145 + ... + 5974631.

It is an arithmetic number, because the mean of its divisors is an integer number (5015524696).

Almost surely, 2^205452439956 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 205452439956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270838333584).

205452439956 is an abundant number, since it is smaller than the sum of its proper divisors (336224227212).

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

205452439956 is an equidigital number, since it uses as much as digits as its factorization.

205452439956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34742 (or 34719 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 205452439956 in words is "two hundred five billion, four hundred fifty-two million, four hundred thirty-nine thousand, nine hundred fifty-six".