211405414461 has 32 divisors (see below), whose sum is σ = 289981036800. Its totient is φ = 136913963520.

The previous prime is 211405414439. The next prime is 211405414463. The reversal of 211405414461 is 164414504112.

It is a happy number.

211405414461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211405414461 - 2⁹ = 211405413949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211405414463) 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 31 ways as a sum of consecutive naturals, for example, 30953595 + ... + 30960423.

It is an arithmetic number, because the mean of its divisors is an integer number (9061907400).

Almost surely, 2^211405414461 is an apocalyptic number.

It is an amenable number.

211405414461 is a deficient number, since it is larger than the sum of its proper divisors (78575622339).

211405414461 is a wasteful number, since it uses less digits than its factorization.

211405414461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7909.

The product of its (nonzero) digits is 15360, while the sum is 33.

Adding to 211405414461 its reverse (164414504112), we get a palindrome (375819918573).

The spelling of 211405414461 in words is "two hundred eleven billion, four hundred five million, four hundred fourteen thousand, four hundred sixty-one".