344959105664 has 32 divisors (see below), whose sum is σ = 705796828500. Its totient is φ = 167817940992.

The previous prime is 344959105597. The next prime is 344959105681. The reversal of 344959105664 is 466501959443.

It can be written as a sum of positive squares in 2 ways, for example, as 338267865664 + 6691240000 = 581608^2 + 81800^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36414089 + ... + 36423560.

Almost surely, 2^344959105664 is an apocalyptic number.

It is an amenable number.

344959105664 is an abundant number, since it is smaller than the sum of its proper divisors (360837722836).

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

344959105664 is an equidigital number, since it uses as much as digits as its factorization.

344959105664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72837700 (or 72837688 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 56.

The spelling of 344959105664 in words is "three hundred forty-four billion, nine hundred fifty-nine million, one hundred five thousand, six hundred sixty-four".