3444456544443 has 32 divisors (see below), whose sum is σ = 5187551577600. Its totient is φ = 2258511660000.

The previous prime is 3444456544421. The next prime is 3444456544453.

3444456544443 is a `hidden beast` number, since 3 + 4 + 4 + 4 + 4 + 56 + 544 + 4 + 43 = 666.

3444456544443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3444456544443 - 2⁶ = 3444456544379 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3444456544443.

It is not an unprimeable number, because it can be changed into a prime (3444456544453) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3770653 + ... + 4594206.

It is an arithmetic number, because the mean of its divisors is an integer number (162110986800).

Almost surely, 2^{3444456544443} is an apocalyptic number.

3444456544443 is a deficient number, since it is larger than the sum of its proper divisors (1743095033157).

3444456544443 is a wasteful number, since it uses less digits than its factorization.

3444456544443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8365120 (or 8365114 counting only the distinct ones).

The product of its digits is 88473600, while the sum is 54.

The spelling of 3444456544443 in words is "three trillion, four hundred forty-four billion, four hundred fifty-six million, five hundred forty-four thousand, four hundred forty-three".