234413141314432 has 64 divisors (see below), whose sum is σ = 471644331618960. Its totient is φ = 116039788441600.

The previous prime is 234413141314409. The next prime is 234413141314529.

234413141314432 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241437183 + ... + 242406145.

Almost surely, 2^{234413141314432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234413141314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235822165809480).

234413141314432 is an abundant number, since it is smaller than the sum of its proper divisors (237231190304528).

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

234413141314432 is a wasteful number, since it uses less digits than its factorization.

234413141314432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987791 (or 987779 counting only the distinct ones).

The product of its digits is 331776, while the sum is 40.

The spelling of 234413141314432 in words is "two hundred thirty-four trillion, four hundred thirteen billion, one hundred forty-one million, three hundred fourteen thousand, four hundred thirty-two".