214234432412 has 384 divisors, whose sum is σ = 547260198912. Its totient is φ = 70601932800.

The previous prime is 214234432393. The next prime is 214234432427.

It is a happy number.

214234432412 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×214234432412² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 468784088 + ... + 468784544.

It is an arithmetic number, because the mean of its divisors is an integer number (1425156768).

Almost surely, 2^214234432412 is an apocalyptic number.

214234432412 is a gapful number since it is divisible by the number (22) 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 214234432412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273630099456).

214234432412 is an abundant number, since it is smaller than the sum of its proper divisors (333025766500).

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

214234432412 is a wasteful number, since it uses less digits than its factorization.

214234432412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 675 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

It can be divided in two parts, 214234 and 432412, that added together give a palindrome (646646).

The spelling of 214234432412 in words is "two hundred fourteen billion, two hundred thirty-four million, four hundred thirty-two thousand, four hundred twelve".