234636505636432 has 80 divisors (see below), whose sum is σ = 474723307192320. Its totient is φ = 112134806784000.

The previous prime is 234636505636303. The next prime is 234636505636451.

234636505636432 is nontrivially palindromic in base 10.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3581055832 + ... + 3581121352.

It is an arithmetic number, because the mean of its divisors is an integer number (5934041339904).

Almost surely, 2^{234636505636432} is an apocalyptic number.

It is an amenable number.

234636505636432 is an abundant number, since it is smaller than the sum of its proper divisors (240086801555888).

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

234636505636432 is a wasteful number, since it uses less digits than its factorization.

234636505636432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72572 (or 72566 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 58.

The spelling of 234636505636432 in words is "two hundred thirty-four trillion, six hundred thirty-six billion, five hundred five million, six hundred thirty-six thousand, four hundred thirty-two".