205414203144 has 64 divisors (see below), whose sum is σ = 514977503040. Its totient is φ = 68279397120.

The previous prime is 205414203139. The next prime is 205414203187. The reversal of 205414203144 is 441302414502.

It is a super-3 number, since 3×205414203144³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13874754 + ... + 13889550.

It is an arithmetic number, because the mean of its divisors is an integer number (8046523485).

Almost surely, 2^205414203144 is an apocalyptic number.

205414203144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

205414203144 is an abundant number, since it is smaller than the sum of its proper divisors (309563299896).

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

205414203144 is a wasteful number, since it uses less digits than its factorization.

205414203144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16390 (or 16386 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 205414203144 its reverse (441302414502), we get a palindrome (646716617646).

The spelling of 205414203144 in words is "two hundred five billion, four hundred fourteen million, two hundred three thousand, one hundred forty-four".