344214414121 has 8 divisors (see below), whose sum is σ = 364495130280. Its totient is φ = 323937343488.

The previous prime is 344214414113. The next prime is 344214414161. The reversal of 344214414121 is 121414412443.

It can be written as a sum of positive squares in 4 ways, for example, as 227242890000 + 116971524121 = 476700^2 + 342011^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 344214414121 - 2³ = 344214414113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (344214414161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 715776 + ... + 1095793.

It is an arithmetic number, because the mean of its divisors is an integer number (45561891285).

Almost surely, 2^344214414121 is an apocalyptic number.

It is an amenable number.

344214414121 is a deficient number, since it is larger than the sum of its proper divisors (20280716159).

344214414121 is a wasteful number, since it uses less digits than its factorization.

344214414121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822763.

The product of its digits is 12288, while the sum is 31.

Adding to 344214414121 its reverse (121414412443), we get a palindrome (465628826564).

The spelling of 344214414121 in words is "three hundred forty-four billion, two hundred fourteen million, four hundred fourteen thousand, one hundred twenty-one".