434315323513434 has 32 divisors (see below), whose sum is σ = 955428450240960. Its totient is φ = 131610704092560.

The previous prime is 434315323513433. The next prime is 434315323513537.

434315323513434 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (434315323513433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27192286249 + ... + 27192302220.

It is an arithmetic number, because the mean of its divisors is an integer number (29857139070030).

Almost surely, 2^{434315323513434} is an apocalyptic number.

434315323513434 is an abundant number, since it is smaller than the sum of its proper divisors (521113126727526).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

434315323513434 is a wasteful number, since it uses less digits than its factorization.

434315323513434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54384588507 (or 54384588485 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 48.

The spelling of 434315323513434 in words is "four hundred thirty-four trillion, three hundred fifteen billion, three hundred twenty-three million, five hundred thirteen thousand, four hundred thirty-four".