34422366322443 has 128 divisors (see below), whose sum is σ = 52405453384704. Its totient is φ = 19920688128000.

The previous prime is 34422366322429. The next prime is 34422366322469.

It is a happy number.

34422366322443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34422366322443 - 2⁵ = 34422366322411 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34422366322392 and 34422366322401.

It is not an unprimeable number, because it can be changed into a prime (34422366322343) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2233325605 + ... + 2233341017.

It is an arithmetic number, because the mean of its divisors is an integer number (409417604568).

Almost surely, 2^{34422366322443} is an apocalyptic number.

34422366322443 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34422366322443 is a deficient number, since it is larger than the sum of its proper divisors (17983087062261).

34422366322443 is a wasteful number, since it uses less digits than its factorization.

34422366322443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15805.

The product of its digits is 11943936, while the sum is 48.

It can be divided in two parts, 3442236 and 6322443, that added together give a palindrome (9764679).

The spelling of 34422366322443 in words is "thirty-four trillion, four hundred twenty-two billion, three hundred sixty-six million, three hundred twenty-two thousand, four hundred forty-three".