234224141422432 has 96 divisors (see below), whose sum is σ = 545265290606400. Its totient is φ = 96904617105408.

The previous prime is 234224141422421. The next prime is 234224141422457.

234224141422432 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37179294 + ... + 43020322.

It is an arithmetic number, because the mean of its divisors is an integer number (5679846777150).

Almost surely, 2^{234224141422432} 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 234224141422432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272632645303200).

234224141422432 is an abundant number, since it is smaller than the sum of its proper divisors (311041149183968).

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

234224141422432 is a wasteful number, since it uses less digits than its factorization.

234224141422432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5847248 (or 5847240 counting only the distinct ones).

The product of its digits is 589824, while the sum is 40.

The spelling of 234224141422432 in words is "two hundred thirty-four trillion, two hundred twenty-four billion, one hundred forty-one million, four hundred twenty-two thousand, four hundred thirty-two".