344753342649 has 27 divisors (see below), whose sum is σ = 525616832559. Its totient is φ = 217717815600.

The previous prime is 344753342603. The next prime is 344753342651. The reversal of 344753342649 is 946243357443.

The square root of 344753342649 is 587157.

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

344753342649 is a `hidden beast` number, since 3 + 4 + 4 + 7 + 533 + 42 + 64 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 331496123049 + 13257219600 = 575757^2 + 115140^2 .

It is not a de Polignac number, because 344753342649 - 2²¹ = 344751245497 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 344753342595 and 344753342604.

It is not an unprimeable number, because it can be changed into a prime (344753352649) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33462799 + ... + 33473099.

Almost surely, 2^344753342649 is an apocalyptic number.

344753342649 is the 587157-th square number.

344753342649 is the 293579-th centered octagonal number.

It is an amenable number.

344753342649 is a deficient number, since it is larger than the sum of its proper divisors (180863489910).

344753342649 is an frugal number, since it uses more digits than its factorization.

344753342649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20646 (or 10323 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 54.

The spelling of 344753342649 in words is "three hundred forty-four billion, seven hundred fifty-three million, three hundred forty-two thousand, six hundred forty-nine".