344311941961 has 9 divisors (see below), whose sum is σ = 372843084981. Its totient is φ = 317819366592.

The previous prime is 344311941943. The next prime is 344311941973. The reversal of 344311941961 is 169149113443.

The square root of 344311941961 is 586781.

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 175210053561 + 169101888400 = 418581^2 + 411220^2 .

It is not a de Polignac number, because 344311941961 - 2⁵ = 344311941929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (344111941961) 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, 7605585 + ... + 7650721.

Almost surely, 2^344311941961 is an apocalyptic number.

344311941961 is the 586781-st square number.

344311941961 is the 293391-st centered octagonal number.

It is an amenable number.

344311941961 is a deficient number, since it is larger than the sum of its proper divisors (28531143020).

344311941961 is an frugal number, since it uses more digits than its factorization.

344311941961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90300 (or 45150 counting only the distinct ones).

The product of its digits is 279936, while the sum is 46.

The spelling of 344311941961 in words is "three hundred forty-four billion, three hundred eleven million, nine hundred forty-one thousand, nine hundred sixty-one".