34464433446443 has 64 divisors (see below), whose sum is σ = 46805467075584. Its totient is φ = 24710375289600.

The previous prime is 34464433446433. The next prime is 34464433446463.

It is a happy number.

34464433446443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34464433446443 - 2⁶ = 34464433446379 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34464433446433) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37456328 + ... + 38365418.

It is an arithmetic number, because the mean of its divisors is an integer number (731335423056).

Almost surely, 2^{34464433446443} is an apocalyptic number.

34464433446443 is a deficient number, since it is larger than the sum of its proper divisors (12341033629141).

34464433446443 is a wasteful number, since it uses less digits than its factorization.

34464433446443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909457 (or 909435 counting only the distinct ones).

The product of its digits is 191102976, while the sum is 56.

The spelling of 34464433446443 in words is "thirty-four trillion, four hundred sixty-four billion, four hundred thirty-three million, four hundred forty-six thousand, four hundred forty-three".