211413424121344 has 160 divisors (see below), whose sum is σ = 454351113596160. Its totient is φ = 97979006361600.

The previous prime is 211413424121309. The next prime is 211413424121353. The reversal of 211413424121344 is 443121424314112.

It is a super-2 number, since 2×211413424121344² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89311842 + ... + 91648414.

It is an arithmetic number, because the mean of its divisors is an integer number (2839694459976).

Almost surely, 2^{211413424121344} 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 211413424121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227175556798080).

211413424121344 is an abundant number, since it is smaller than the sum of its proper divisors (242937689474816).

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

211413424121344 is a wasteful number, since it uses less digits than its factorization.

211413424121344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336812 (or 2336796 counting only the distinct ones).

The product of its digits is 73728, while the sum is 37.

Adding to 211413424121344 its reverse (443121424314112), we get a palindrome (654534848435456).

The spelling of 211413424121344 in words is "two hundred eleven trillion, four hundred thirteen billion, four hundred twenty-four million, one hundred twenty-one thousand, three hundred forty-four".