211111443144 has 192 divisors, whose sum is σ = 676344988800. Its totient is φ = 58205564928.

The previous prime is 211111443133. The next prime is 211111443157. The reversal of 211111443144 is 441344111112.

211111443144 is a `hidden beast` number, since 2 + 111 + 114 + 431 + 4 + 4 = 666.

211111443144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 40966072 + ... + 40971224.

It is an arithmetic number, because the mean of its divisors is an integer number (3522630150).

Almost surely, 2^211111443144 is an apocalyptic number.

211111443144 is a gapful number since it is divisible by the number (24) 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 211111443144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338172494400).

211111443144 is an abundant number, since it is smaller than the sum of its proper divisors (465233545656).

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

211111443144 is a wasteful number, since it uses less digits than its factorization.

211111443144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8004 (or 7997 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

Adding to 211111443144 its reverse (441344111112), we get a palindrome (652455554256).

The spelling of 211111443144 in words is "two hundred eleven billion, one hundred eleven million, four hundred forty-three thousand, one hundred forty-four".