344605394961 has 9 divisors (see below), whose sum is σ = 497765892091. Its totient is φ = 229735755912.

The previous prime is 344605394873. The next prime is 344605394963. The reversal of 344605394961 is 169493506443.

It is a happy number.

The square root of 344605394961 is 587031.

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

344605394961 is a `hidden beast` number, since 3 + 4 + 4 + 6 + 0 + 539 + 49 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2562890625 + 342042504336 = 50625^2 + 584844^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 344605394961 - 2²⁹ = 344068524049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 344605394898 and 344605394907.

It is not an unprimeable number, because it can be changed into a prime (344605394963) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1663255 + ... + 1858931.

Almost surely, 2^344605394961 is an apocalyptic number.

344605394961 is the 587031-st square number.

344605394961 is the 293516-th centered octagonal number.

It is an amenable number.

344605394961 is a deficient number, since it is larger than the sum of its proper divisors (153160497130).

344605394961 is an frugal number, since it uses more digits than its factorization.

344605394961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391360 (or 195680 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 344605394961 in words is "three hundred forty-four billion, six hundred five million, three hundred ninety-four thousand, nine hundred sixty-one".