213244431444 has 144 divisors (see below), whose sum is σ = 604323510336. Its totient is φ = 62832153600.

The previous prime is 213244431373. The next prime is 213244431457. The reversal of 213244431444 is 444134442312.

213244431444 is a `hidden beast` number, since 2 + 132 + 44 + 43 + 1 + 444 = 666.

213244431444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×213244431444³ (a number of 35 digits) contains 333 as substring.

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 junction number, because it is equal to n+sod(n) for n = 213244431399 and 213244431408.

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 47 ways as a sum of consecutive naturals, for example, 28289244 + ... + 28296780.

It is an arithmetic number, because the mean of its divisors is an integer number (4196691044).

Almost surely, 2^213244431444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213244431444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302161755168).

213244431444 is an abundant number, since it is smaller than the sum of its proper divisors (391079078892).

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

213244431444 is a wasteful number, since it uses less digits than its factorization.

213244431444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9526 (or 9521 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 213244431444 its reverse (444134442312), we get a palindrome (657378873756).

The spelling of 213244431444 in words is "two hundred thirteen billion, two hundred forty-four million, four hundred thirty-one thousand, four hundred forty-four".