211232142432 has 144 divisors (see below), whose sum is σ = 606406574592. Its totient is φ = 69742632960.

The previous prime is 211232142419. The next prime is 211232142487. The reversal of 211232142432 is 234241232112.

211232142432 is a `hidden beast` number, since 2 + 1 + 1 + 232 + 1 + 424 + 3 + 2 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 211232142396 and 211232142405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24172368 + ... + 24181104.

It is an arithmetic number, because the mean of its divisors is an integer number (4211156768).

Almost surely, 2^211232142432 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 211232142432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303203287296).

211232142432 is an abundant number, since it is smaller than the sum of its proper divisors (395174432160).

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

211232142432 is a wasteful number, since it uses less digits than its factorization.

211232142432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9541 (or 9530 counting only the distinct ones).

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

Adding to 211232142432 its reverse (234241232112), we get a palindrome (445473374544).

The spelling of 211232142432 in words is "two hundred eleven billion, two hundred thirty-two million, one hundred forty-two thousand, four hundred thirty-two".