2005344544311 has 12 divisors (see below), whose sum is σ = 3066997538592. Its totient is φ = 1258255400256.

The previous prime is 2005344544309. The next prime is 2005344544331. The reversal of 2005344544311 is 1134454435002.

2005344544311 is a `hidden beast` number, since 20 + 0 + 53 + 44 + 544 + 3 + 1 + 1 = 666.

It is not a de Polignac number, because 2005344544311 - 2¹ = 2005344544309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005344544331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6553413391 + ... + 6553413696.

It is an arithmetic number, because the mean of its divisors is an integer number (255583128216).

Almost surely, 2^{2005344544311} is an apocalyptic number.

2005344544311 is a deficient number, since it is larger than the sum of its proper divisors (1061652994281).

2005344544311 is a wasteful number, since it uses less digits than its factorization.

2005344544311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13106827110 (or 13106827107 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 2005344544311 its reverse (1134454435002), we get a palindrome (3139798979313).

The spelling of 2005344544311 in words is "two trillion, five billion, three hundred forty-four million, five hundred forty-four thousand, three hundred eleven".