34442222224443 has 32 divisors (see below), whose sum is σ = 50325767396352. Its totient is φ = 20779105072800.

The previous prime is 34442222224433. The next prime is 34442222224513.

34442222224443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34442222224443 - 2⁶ = 34442222224379 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34442222224395 and 34442222224404.

It is not an unprimeable number, because it can be changed into a prime (34442222224433) 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, 51889980 + ... + 52549542.

It is an arithmetic number, because the mean of its divisors is an integer number (1572680231136).

Almost surely, 2^{34442222224443} is an apocalyptic number.

34442222224443 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34442222224443 is a deficient number, since it is larger than the sum of its proper divisors (15883545171909).

34442222224443 is a wasteful number, since it uses less digits than its factorization.

34442222224443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666775.

The product of its digits is 2359296, while the sum is 42.

It can be divided in two parts, 3444222 and 2224443, that added together give a palindrome (5668665).

The spelling of 34442222224443 in words is "thirty-four trillion, four hundred forty-two billion, two hundred twenty-two million, two hundred twenty-four thousand, four hundred forty-three".