205513141344 has 48 divisors (see below), whose sum is σ = 616539426048. Its totient is φ = 58718040192.

The previous prime is 205513141343. The next prime is 205513141349. The reversal of 205513141344 is 443141315502.

205513141344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205513141343) by changing a digit.

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, 152910892 + ... + 152912235.

It is an arithmetic number, because the mean of its divisors is an integer number (12844571376).

Almost surely, 2^205513141344 is an apocalyptic number.

205513141344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

205513141344 is an abundant number, since it is smaller than the sum of its proper divisors (411026284704).

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

205513141344 is a wasteful number, since it uses less digits than its factorization.

205513141344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305823147 (or 305823139 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 205513141344 its reverse (443141315502), we get a palindrome (648654456846).

The spelling of 205513141344 in words is "two hundred five billion, five hundred thirteen million, one hundred forty-one thousand, three hundred forty-four".