234051242150432 has 96 divisors (see below), whose sum is σ = 557768757224448. Its totient is φ = 94377409191936.

The previous prime is 234051242150423. The next prime is 234051242150597.

234051242150432 is nontrivially palindromic in base 10.

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, 2356268 + ... + 21763604.

It is an arithmetic number, because the mean of its divisors is an integer number (5810091221088).

Almost surely, 2^{234051242150432} 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 234051242150432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278884378612224).

234051242150432 is an abundant number, since it is smaller than the sum of its proper divisors (323717515074016).

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

234051242150432 is a wasteful number, since it uses less digits than its factorization.

234051242150432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19410538 (or 19410530 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

The spelling of 234051242150432 in words is "two hundred thirty-four trillion, fifty-one billion, two hundred forty-two million, one hundred fifty thousand, four hundred thirty-two".