213422011344 has 120 divisors (see below), whose sum is σ = 600951497952. Its totient is φ = 70705094400.

The previous prime is 213422011339. The next prime is 213422011357. The reversal of 213422011344 is 443110224312.

213422011344 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213422011344² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20032419 + ... + 20043069.

Almost surely, 2^213422011344 is an apocalyptic number.

213422011344 is a gapful number since it is divisible by the number (24) 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 213422011344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300475748976).

213422011344 is an abundant number, since it is smaller than the sum of its proper divisors (387529486608).

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

213422011344 is a wasteful number, since it uses less digits than its factorization.

213422011344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11505 (or 11496 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 213422011344 its reverse (443110224312), we get a palindrome (656532235656).

The spelling of 213422011344 in words is "two hundred thirteen billion, four hundred twenty-two million, eleven thousand, three hundred forty-four".