211244323442112 has 168 divisors, whose sum is σ = 622393181734896. Its totient is φ = 68452755001344.

The previous prime is 211244323442081. The next prime is 211244323442137.

211244323442112 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 4 + 432 + 3 + 4 + 4 + 211 + 2 = 666.

211244323442112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20524468 + ... + 29047244.

Almost surely, 2^{211244323442112} 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 211244323442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311196590867448).

211244323442112 is an abundant number, since it is smaller than the sum of its proper divisors (411148858292784).

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

211244323442112 is a wasteful number, since it uses less digits than its factorization.

211244323442112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8523995 (or 8523982 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 211244323442112 in words is "two hundred eleven trillion, two hundred forty-four billion, three hundred twenty-three million, four hundred forty-two thousand, one hundred twelve".