205109667408 has 40 divisors (see below), whose sum is σ = 548137908000. Its totient is φ = 66012306304.

The previous prime is 205109667349. The next prime is 205109667449. The reversal of 205109667408 is 804766901502.

205109667408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 73673058 + ... + 73675841.

It is an arithmetic number, because the mean of its divisors is an integer number (13703447700).

Almost surely, 2^205109667408 is an apocalyptic number.

It is an amenable number.

205109667408 is an abundant number, since it is smaller than the sum of its proper divisors (343028240592).

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

205109667408 is a wasteful number, since it uses less digits than its factorization.

205109667408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147348939 (or 147348933 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 205109667408 in words is "two hundred five billion, one hundred nine million, six hundred sixty-seven thousand, four hundred eight".