344145316221 has 64 divisors (see below), whose sum is σ = 596563968000. Its totient is φ = 191973716928.

The previous prime is 344145316217. The next prime is 344145316243. The reversal of 344145316221 is 122613541443.

344145316221 is a `hidden beast` number, since 3 + 4 + 41 + 4 + 531 + 62 + 21 = 666.

It is not a de Polignac number, because 344145316221 - 2² = 344145316217 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344145316121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15828660 + ... + 15850386.

It is an arithmetic number, because the mean of its divisors is an integer number (9321312000).

Almost surely, 2^344145316221 is an apocalyptic number.

It is an amenable number.

344145316221 is a deficient number, since it is larger than the sum of its proper divisors (252418651779).

344145316221 is a wasteful number, since it uses less digits than its factorization.

344145316221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23735 (or 23729 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 344145316221 its reverse (122613541443), we get a palindrome (466758857664).

The spelling of 344145316221 in words is "three hundred forty-four billion, one hundred forty-five million, three hundred sixteen thousand, two hundred twenty-one".