213441222144312 has 96 divisors (see below), whose sum is σ = 593713746662400. Its totient is φ = 69221818190592.

The previous prime is 213441222144289. The next prime is 213441222144343.

213441222144312 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 4 + 1 + 2 + 2 + 214 + 431 + 2 = 666.

213441222144312 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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77579593 + ... + 80283719.

It is an arithmetic number, because the mean of its divisors is an integer number (6184518194400).

Almost surely, 2^{213441222144312} is an apocalyptic number.

It is an amenable number.

213441222144312 is an abundant number, since it is smaller than the sum of its proper divisors (380272524518088).

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

213441222144312 is a wasteful number, since it uses less digits than its factorization.

213441222144312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733805 (or 2733798 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 213441222144312 in words is "two hundred thirteen trillion, four hundred forty-one billion, two hundred twenty-two million, one hundred forty-four thousand, three hundred twelve".