213004422144 has 352 divisors, whose sum is σ = 642947961600. Its totient is φ = 70519984128.

The previous prime is 213004422143. The next prime is 213004422157. The reversal of 213004422144 is 441224400312.

213004422144 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 0 + 442 + 214 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (213004422143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 508363567 + ... + 508363985.

Almost surely, 2^213004422144 is an apocalyptic number.

213004422144 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 213004422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321473980800).

213004422144 is an abundant number, since it is smaller than the sum of its proper divisors (429943539456).

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

213004422144 is an frugal number, since it uses more digits than its factorization.

213004422144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 213004422144 its reverse (441224400312), we get a palindrome (654228822456).

It can be divided in two parts, 21300 and 4422144, that added together give a palindrome (4443444).

The spelling of 213004422144 in words is "two hundred thirteen billion, four million, four hundred twenty-two thousand, one hundred forty-four".