344649444946443 has 48 divisors (see below), whose sum is σ = 612834388298496. Its totient is φ = 181756244295360.

The previous prime is 344649444946369. The next prime is 344649444946487.

344649444946443 is a `hidden beast` number, since 3 + 4 + 4 + 6 + 4 + 94 + 4 + 4 + 94 + 6 + 443 = 666.

344649444946443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 344649444946443 - 2²⁰ = 344649443897867 is a prime.

It is a super-2 number, since 2×344649444946443² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (344649444947443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38632105 + ... + 46709082.

It is an arithmetic number, because the mean of its divisors is an integer number (12767383089552).

Almost surely, 2^{344649444946443} is an apocalyptic number.

344649444946443 is a deficient number, since it is larger than the sum of its proper divisors (268184943352053).

344649444946443 is a wasteful number, since it uses less digits than its factorization.

344649444946443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85346144 (or 85346141 counting only the distinct ones).

The product of its digits is 6879707136, while the sum is 72.

The spelling of 344649444946443 in words is "three hundred forty-four trillion, six hundred forty-nine billion, four hundred forty-four million, nine hundred forty-six thousand, four hundred forty-three".