211345056 has 144 divisors (see below), whose sum is σ = 681539040. Its totient is φ = 61585920.

The previous prime is 211345033. The next prime is 211345063. The reversal of 211345056 is 650543112.

211345056 is a `hidden beast` number, since 21 + 134 + 505 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69651 + ... + 72621.

It is an arithmetic number, because the mean of its divisors is an integer number (4732910).

Almost surely, 2^211345056 is an apocalyptic number.

211345056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211345056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340769520).

211345056 is an abundant number, since it is smaller than the sum of its proper divisors (470193984).

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

211345056 is a wasteful number, since it uses less digits than its factorization.

211345056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3019 (or 3008 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 211345056 is about 14537.7115117889. The cubic root of 211345056 is about 595.6585284766.

Adding to 211345056 its reverse (650543112), we get a palindrome (861888168).

The spelling of 211345056 in words is "two hundred eleven million, three hundred forty-five thousand, fifty-six".