434352464253434 has 48 divisors (see below), whose sum is σ = 658895186472000. Its totient is φ = 214742695166208.

The previous prime is 434352464253419. The next prime is 434352464253451.

It is a happy number.

434352464253434 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 434352464253434.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33388606322 + ... + 33388619330.

It is an arithmetic number, because the mean of its divisors is an integer number (13726983051500).

Almost surely, 2^{434352464253434} is an apocalyptic number.

434352464253434 is a deficient number, since it is larger than the sum of its proper divisors (224542722218566).

434352464253434 is a wasteful number, since it uses less digits than its factorization.

434352464253434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16359 (or 16186 counting only the distinct ones).

The product of its digits is 199065600, while the sum is 56.

The spelling of 434352464253434 in words is "four hundred thirty-four trillion, three hundred fifty-two billion, four hundred sixty-four million, two hundred fifty-three thousand, four hundred thirty-four".