213412343214312 has 192 divisors, whose sum is σ = 649274070332160. Its totient is φ = 63294439591680.

The previous prime is 213412343214299. The next prime is 213412343214361.

213412343214312 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 12 + 3 + 4 + 321 + 4 + 312 = 666.

213412343214312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19186773 + ... + 28194980.

It is an arithmetic number, because the mean of its divisors is an integer number (3381635782980).

Almost surely, 2^{213412343214312} is an apocalyptic number.

213412343214312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213412343214312 is an abundant number, since it is smaller than the sum of its proper divisors (435861727117848).

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

213412343214312 is a wasteful number, since it uses less digits than its factorization.

213412343214312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47381845 (or 47381816 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 213412343214312 in words is "two hundred thirteen trillion, four hundred twelve billion, three hundred forty-three million, two hundred fourteen thousand, three hundred twelve".