34431366313443 has 32 divisors (see below), whose sum is σ = 52464762086400. Its totient is φ = 19892888870400.

The previous prime is 34431366313423. The next prime is 34431366313457.

It is a happy number.

34431366313443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34431366313443 - 2⁵ = 34431366313411 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34431366313392 and 34431366313401.

It is not an unprimeable number, because it can be changed into a prime (34431366313423) 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, 227636038 + ... + 227787243.

It is an arithmetic number, because the mean of its divisors is an integer number (1639523815200).

Almost surely, 2^{34431366313443} is an apocalyptic number.

34431366313443 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34431366313443 is a deficient number, since it is larger than the sum of its proper divisors (18033395772957).

34431366313443 is a wasteful number, since it uses less digits than its factorization.

34431366313443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455423403.

The product of its digits is 6718464, while the sum is 48.

It can be divided in two parts, 3443136 and 6313443, that added together give a palindrome (9756579).

The spelling of 34431366313443 in words is "thirty-four trillion, four hundred thirty-one billion, three hundred sixty-six million, three hundred thirteen thousand, four hundred forty-three".