344340224505 has 48 divisors (see below), whose sum is σ = 619386140880. Its totient is φ = 176755858944.

The previous prime is 344340224497. The next prime is 344340224531. The reversal of 344340224505 is 505422043443.

344340224505 is a `hidden beast` number, since 3 + 4 + 4 + 3 + 402 + 245 + 0 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2785306176 + 341554918329 = 52776^2 + 584427^2 .

It is not a de Polignac number, because 344340224505 - 2³ = 344340224497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 344340224505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2502 + ... + 829871.

It is an arithmetic number, because the mean of its divisors is an integer number (12903877935).

Almost surely, 2^344340224505 is an apocalyptic number.

It is an amenable number.

344340224505 is a deficient number, since it is larger than the sum of its proper divisors (275045916375).

344340224505 is a wasteful number, since it uses less digits than its factorization.

344340224505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832730 (or 832727 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 344340224505 its reverse (505422043443), we get a palindrome (849762267948).

The spelling of 344340224505 in words is "three hundred forty-four billion, three hundred forty million, two hundred twenty-four thousand, five hundred five".