211234516768 has 72 divisors (see below), whose sum is σ = 457350923484. Its totient is φ = 95965309440.

The previous prime is 211234516763. The next prime is 211234516799. The reversal of 211234516768 is 867615432112.

211234516768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 180920921104 + 30313595664 = 425348^2 + 174108^2 .

It is not an unprimeable number, because it can be changed into a prime (211234516763) 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 11 ways as a sum of consecutive naturals, for example, 7935930 + ... + 7962502.

Almost surely, 2^211234516768 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 211234516768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228675461742).

211234516768 is an abundant number, since it is smaller than the sum of its proper divisors (246116406716).

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

211234516768 is a wasteful number, since it uses less digits than its factorization.

211234516768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28658 (or 28639 counting only the distinct ones).

The product of its digits is 483840, while the sum is 46.

The spelling of 211234516768 in words is "two hundred eleven billion, two hundred thirty-four million, five hundred sixteen thousand, seven hundred sixty-eight".