344220141022443 has 192 divisors, whose sum is σ = 624007028736000. Its totient is φ = 178417792800000.

The previous prime is 344220141022411. The next prime is 344220141022493.

344220141022443 is a `hidden beast` number, since 3 + 4 + 4 + 2 + 201 + 4 + 1 + 0 + 2 + 2 + 443 = 666.

344220141022443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 344220141022443 - 2⁵ = 344220141022411 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 344220141022398 and 344220141022407.

It is not an unprimeable number, because it can be changed into a prime (344220141022493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5243149168 + ... + 5243214818.

It is an arithmetic number, because the mean of its divisors is an integer number (3250036608000).

Almost surely, 2^{344220141022443} is an apocalyptic number.

344220141022443 is a deficient number, since it is larger than the sum of its proper divisors (279786887713557).

344220141022443 is a wasteful number, since it uses less digits than its factorization.

344220141022443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67214 (or 67211 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 344220141022443 in words is "three hundred forty-four trillion, two hundred twenty billion, one hundred forty-one million, twenty-two thousand, four hundred forty-three".