211686034644 has 216 divisors, whose sum is σ = 648047804040. Its totient is φ = 58021996032.

The previous prime is 211686034631. The next prime is 211686034663. The reversal of 211686034644 is 446430686112.

211686034644 is a `hidden beast` number, since 21 + 16 + 8 + 603 + 4 + 6 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11796566544 + 199889468100 = 108612^2 + 447090^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 211686034644.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8018314 + ... + 8044670.

It is an arithmetic number, because the mean of its divisors is an integer number (3000221315).

Almost surely, 2^211686034644 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 211686034644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324023902020).

211686034644 is an abundant number, since it is smaller than the sum of its proper divisors (436361769396).

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

211686034644 is a wasteful number, since it uses less digits than its factorization.

211686034644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26567 (or 26555 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 211686034644 in words is "two hundred eleven billion, six hundred eighty-six million, thirty-four thousand, six hundred forty-four".