214224142114032 has 160 divisors (see below), whose sum is σ = 570356128871424. Its totient is φ = 69243003648000.

The previous prime is 214224142114027. The next prime is 214224142114061. The reversal of 214224142114032 is 230411241422412.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 214224142113984 and 214224142114002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4913714058 + ... + 4913757654.

Almost surely, 2^{214224142114032} 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 214224142114032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285178064435712).

214224142114032 is an abundant number, since it is smaller than the sum of its proper divisors (356131986757392).

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

214224142114032 is a wasteful number, since it uses less digits than its factorization.

214224142114032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58767 (or 58761 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 214224142114032 its reverse (230411241422412), we get a palindrome (444635383536444).

The spelling of 214224142114032 in words is "two hundred fourteen trillion, two hundred twenty-four billion, one hundred forty-two million, one hundred fourteen thousand, thirty-two".