211133405405 has 64 divisors (see below), whose sum is σ = 298297036800. Its totient is φ = 142112620800.

The previous prime is 211133405389. The next prime is 211133405407. The reversal of 211133405405 is 504504331112.

It is not a de Polignac number, because 211133405405 - 2⁴ = 211133405389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211133405407) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3393830 + ... + 3455480.

It is an arithmetic number, because the mean of its divisors is an integer number (4660891200).

Almost surely, 2^211133405405 is an apocalyptic number.

It is an amenable number.

211133405405 is a deficient number, since it is larger than the sum of its proper divisors (87163631395).

211133405405 is a wasteful number, since it uses less digits than its factorization.

211133405405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61794.

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 211133405405 its reverse (504504331112), we get a palindrome (715637736517).

The spelling of 211133405405 in words is "two hundred eleven billion, one hundred thirty-three million, four hundred five thousand, four hundred five".