214112400324032 has 112 divisors (see below), whose sum is σ = 487695711464640. Its totient is φ = 91362385477632.

The previous prime is 214112400324019. The next prime is 214112400324037. The reversal of 214112400324032 is 230423004211412.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 214112400323986 and 214112400324004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214112400324037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186583118 + ... + 187727154.

It is an arithmetic number, because the mean of its divisors is an integer number (4354425995220).

Almost surely, 2^{214112400324032} 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 214112400324032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243847855732320).

214112400324032 is an abundant number, since it is smaller than the sum of its proper divisors (273583311140608).

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

214112400324032 is a wasteful number, since it uses less digits than its factorization.

214112400324032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145878 (or 1145868 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 214112400324032 its reverse (230423004211412), we get a palindrome (444535404535444).

The spelling of 214112400324032 in words is "two hundred fourteen trillion, one hundred twelve billion, four hundred million, three hundred twenty-four thousand, thirty-two".