344016267841 has 9 divisors (see below), whose sum is σ = 347265871113. Its totient is φ = 340796810160.

The previous prime is 344016267823. The next prime is 344016267871. The reversal of 344016267841 is 148762610443.

The square root of 344016267841 is 586529.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 198218241 + 343818049600 = 14079^2 + 586360^2 .

It is not a de Polignac number, because 344016267841 - 2⁵ = 344016267809 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 344016267791 and 344016267800.

It is not an unprimeable number, because it can be changed into a prime (344016267811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 63928971 + ... + 63934351.

Almost surely, 2^344016267841 is an apocalyptic number.

344016267841 is the 586529-th square number.

344016267841 is the 293265-th centered octagonal number.

It is an amenable number.

344016267841 is a deficient number, since it is larger than the sum of its proper divisors (3249603272).

344016267841 is an frugal number, since it uses more digits than its factorization.

344016267841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10980 (or 5490 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The spelling of 344016267841 in words is "three hundred forty-four billion, sixteen million, two hundred sixty-seven thousand, eight hundred forty-one".