234635121536432 has 160 divisors (see below), whose sum is σ = 482686146109440. Its totient is φ = 110310377472000.

The previous prime is 234635121536423. The next prime is 234635121536447.

234635121536432 is nontrivially palindromic in base 10.

234635121536432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16329251744 + ... + 16329266112.

It is an arithmetic number, because the mean of its divisors is an integer number (3016788413184).

Almost surely, 2^{234635121536432} 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 234635121536432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241343073054720).

234635121536432 is an abundant number, since it is smaller than the sum of its proper divisors (248051024573008).

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

234635121536432 is a wasteful number, since it uses less digits than its factorization.

234635121536432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17683 (or 17677 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 50.

The spelling of 234635121536432 in words is "two hundred thirty-four trillion, six hundred thirty-five billion, one hundred twenty-one million, five hundred thirty-six thousand, four hundred thirty-two".