344405000504443 has 8 divisors (see below), whose sum is σ = 354106986399936. Its totient is φ = 334765008129600.

The previous prime is 344405000504431. The next prime is 344405000504459.

344405000504443 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 344405000504443 - 2²¹ = 344404998407291 is a prime.

It is a super-2 number, since 2×344405000504443² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 344405000504396 and 344405000504405.

It is not an unprimeable number, because it can be changed into a prime (344405004504443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15498368896 + ... + 15498391117.

It is an arithmetic number, because the mean of its divisors is an integer number (44263373299992).

Almost surely, 2^{344405000504443} is an apocalyptic number.

344405000504443 is a deficient number, since it is larger than the sum of its proper divisors (9701985895493).

344405000504443 is a wasteful number, since it uses less digits than its factorization.

344405000504443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30996760325.

The product of its (nonzero) digits is 921600, while the sum is 40.

It can be divided in two parts, 344405000 and 504443, that added together give a palindrome (344909443).

The spelling of 344405000504443 in words is "three hundred forty-four trillion, four hundred five billion, five hundred four thousand, four hundred forty-three".