34431211213443 has 24 divisors (see below), whose sum is σ = 55721599807536. Its totient is φ = 20303416929600.

The previous prime is 34431211213397. The next prime is 34431211213463.

34431211213443 is a `hidden beast` number, since 3 + 4 + 431 + 2 + 1 + 1 + 213 + 4 + 4 + 3 = 666.

34431211213443 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-34431211213443 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34431211213398 and 34431211213407.

It is not an unprimeable number, because it can be changed into a prime (34431211213463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4699861368 + ... + 4699868693.

It is an arithmetic number, because the mean of its divisors is an integer number (2321733325314).

Almost surely, 2^{34431211213443} is an apocalyptic number.

34431211213443 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34431211213443 is a deficient number, since it is larger than the sum of its proper divisors (21290388594093).

34431211213443 is a wasteful number, since it uses less digits than its factorization.

34431211213443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9399730115 (or 9399730112 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 3443121 and 1213443, that added together give a palindrome (4656564).

The spelling of 34431211213443 in words is "thirty-four trillion, four hundred thirty-one billion, two hundred eleven million, two hundred thirteen thousand, four hundred forty-three".