214412214412 has 72 divisors (see below), whose sum is σ = 417499293456. Its totient is φ = 96267600000.

The previous prime is 214412214409. The next prime is 214412214413.

214412214412 is nontrivially palindromic in base 10.

214412214412 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (214412214413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21650662 + ... + 21660562.

It is an arithmetic number, because the mean of its divisors is an integer number (5798601298).

Almost surely, 2^214412214412 is an apocalyptic number.

214412214412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214412214412 is a deficient number, since it is larger than the sum of its proper divisors (203087079044).

214412214412 is a wasteful number, since it uses less digits than its factorization.

214412214412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10471 (or 10458 counting only the distinct ones).

The product of its digits is 4096, while the sum is 28.

It can be divided in two parts, 214412 and 214412, that added together give a palindrome (428824).

The spelling of 214412214412 in words is "two hundred fourteen billion, four hundred twelve million, two hundred fourteen thousand, four hundred twelve".