211242330144 has 144 divisors (see below), whose sum is σ = 634801920480. Its totient is φ = 66448097280.

The previous prime is 211242330137. The next prime is 211242330199. The reversal of 211242330144 is 441033242112.

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, 1331199 + ... + 1481409.

It is an arithmetic number, because the mean of its divisors is an integer number (4408346670).

Almost surely, 2^211242330144 is an apocalyptic number.

211242330144 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 211242330144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317400960240).

211242330144 is an abundant number, since it is smaller than the sum of its proper divisors (423559590336).

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

211242330144 is a wasteful number, since it uses less digits than its factorization.

211242330144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150503 (or 150492 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 211242330144 its reverse (441033242112), we get a palindrome (652275572256).

The spelling of 211242330144 in words is "two hundred eleven billion, two hundred forty-two million, three hundred thirty thousand, one hundred forty-four".