205299234816 has 384 divisors, whose sum is σ = 611246039040. Its totient is φ = 60866297856.

The previous prime is 205299234799. The next prime is 205299234817. The reversal of 205299234816 is 618432992502.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205299234817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375318255 + ... + 375318801.

It is an arithmetic number, because the mean of its divisors is an integer number (1591786560).

Almost surely, 2^205299234816 is an apocalyptic number.

205299234816 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205299234816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305623019520).

205299234816 is an abundant number, since it is smaller than the sum of its proper divisors (405946804224).

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

205299234816 is a wasteful number, since it uses less digits than its factorization.

205299234816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 205299234816 in words is "two hundred five billion, two hundred ninety-nine million, two hundred thirty-four thousand, eight hundred sixteen".