214114114032 has 320 divisors, whose sum is σ = 695205504000. Its totient is φ = 55277494272.

The previous prime is 214114114021. The next prime is 214114114069. The reversal of 214114114032 is 230411411412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 214114113993 and 214114114011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142837219 + ... + 142838717.

It is an arithmetic number, because the mean of its divisors is an integer number (2172517200).

Almost surely, 2^214114114032 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 214114114032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347602752000).

214114114032 is an abundant number, since it is smaller than the sum of its proper divisors (481091389968).

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

214114114032 is a wasteful number, since it uses less digits than its factorization.

214114114032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2200 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 214114114032 its reverse (230411411412), we get a palindrome (444525525444).

The spelling of 214114114032 in words is "two hundred fourteen billion, one hundred fourteen million, one hundred fourteen thousand, thirty-two".