344112223144100 has 18 divisors (see below), whose sum is σ = 746723524222914. Its totient is φ = 137644889257600.

The previous prime is 344112223144087. The next prime is 344112223144111. The reversal of 344112223144100 is 1441322211443.

It can be written as a sum of positive squares in 3 ways, for example, as 78618829959076 + 265493393185024 = 8866726^2 + 16293968^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1720561115621 + ... + 1720561115820.

Almost surely, 2^{344112223144100} is an apocalyptic number.

It is an amenable number.

344112223144100 is an abundant number, since it is smaller than the sum of its proper divisors (402611301078814).

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

344112223144100 is a wasteful number, since it uses less digits than its factorization.

344112223144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3441122231455 (or 3441122231448 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 344112223144100 its reverse (1441322211443), we get a palindrome (345553545355543).

The spelling of 344112223144100 in words is "three hundred forty-four trillion, one hundred twelve billion, two hundred twenty-three million, one hundred forty-four thousand, one hundred".