205035949664 has 240 divisors, whose sum is σ = 512318675232. Its totient is φ = 80285313024.

The previous prime is 205035949631. The next prime is 205035949673. The reversal of 205035949664 is 466949530502.

It is a happy number.

205035949664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 102877052 + ... + 102879044.

Almost surely, 2^205035949664 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 205035949664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256159337616).

205035949664 is an abundant number, since it is smaller than the sum of its proper divisors (307282725568).

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

205035949664 is a wasteful number, since it uses less digits than its factorization.

205035949664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 53.

The spelling of 205035949664 in words is "two hundred five billion, thirty-five million, nine hundred forty-nine thousand, six hundred sixty-four".