211434143104 has 64 divisors (see below), whose sum is σ = 423865386000. Its totient is φ = 105054208000.

The previous prime is 211434143101. The next prime is 211434143111. The reversal of 211434143104 is 401341434112.

211434143104 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 (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211434143101) 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, 14418144 + ... + 14432800.

Almost surely, 2^211434143104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211434143104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211932693000).

211434143104 is an abundant number, since it is smaller than the sum of its proper divisors (212431242896).

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

211434143104 is a wasteful number, since it uses less digits than its factorization.

211434143104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15371 (or 15359 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 211434143104 its reverse (401341434112), we get a palindrome (612775577216).

The spelling of 211434143104 in words is "two hundred eleven billion, four hundred thirty-four million, one hundred forty-three thousand, one hundred four".