211332222011328 has 448 divisors, whose sum is σ = 647171881574400. Its totient is φ = 60190300938240.

The previous prime is 211332222011327. The next prime is 211332222011381. The reversal of 211332222011328 is 823110222233112.

It is a super-2 number, since 2×211332222011328² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211332222011321) 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 63 ways as a sum of consecutive naturals, for example, 3721723225 + ... + 3721780007.

It is an arithmetic number, because the mean of its divisors is an integer number (1444580092800).

Almost surely, 2^{211332222011328} 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 211332222011328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323585940787200).

211332222011328 is an abundant number, since it is smaller than the sum of its proper divisors (435839659563072).

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

211332222011328 is a wasteful number, since it uses less digits than its factorization.

211332222011328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57560 (or 57550 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 211332222011328 in words is "two hundred eleven trillion, three hundred thirty-two billion, two hundred twenty-two million, eleven thousand, three hundred twenty-eight".