213404430004344 has 192 divisors, whose sum is σ = 587774588200800. Its totient is φ = 69941300428800.

The previous prime is 213404430004313. The next prime is 213404430004349. The reversal of 213404430004344 is 443400034404312.

213404430004344 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 0 + 4 + 4 + 300 + 0 + 4 + 344 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 213404430004299 and 213404430004308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213404430004349) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 436314552 + ... + 436803384.

Almost surely, 2^{213404430004344} is an apocalyptic number.

213404430004344 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 213404430004344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293887294100400).

213404430004344 is an abundant number, since it is smaller than the sum of its proper divisors (374370158196456).

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

213404430004344 is a wasteful number, since it uses less digits than its factorization.

213404430004344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489406 (or 489399 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 213404430004344 its reverse (443400034404312), we get a palindrome (656804464408656).

The spelling of 213404430004344 in words is "two hundred thirteen trillion, four hundred four billion, four hundred thirty million, four thousand, three hundred forty-four".