344343313305 has 24 divisors (see below), whose sum is σ = 603014964552. Its totient is φ = 181756468224.

The previous prime is 344343313271. The next prime is 344343313337. The reversal of 344343313305 is 503313343443.

344343313305 is a `hidden beast` number, since 3 + 4 + 4 + 34 + 3 + 313 + 305 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1496761344 + 342846551961 = 38688^2 + 585531^2 .

It is not a de Polignac number, because 344343313305 - 2¹⁶ = 344343247769 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 344343313305.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39439314 + ... + 39448043.

It is an arithmetic number, because the mean of its divisors is an integer number (25125623523).

Almost surely, 2^344343313305 is an apocalyptic number.

It is an amenable number.

344343313305 is a deficient number, since it is larger than the sum of its proper divisors (258671651247).

344343313305 is a wasteful number, since it uses less digits than its factorization.

344343313305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78887465 (or 78887462 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 36.

Adding to 344343313305 its reverse (503313343443), we get a palindrome (847656656748).

The spelling of 344343313305 in words is "three hundred forty-four billion, three hundred forty-three million, three hundred thirteen thousand, three hundred five".