234645363546432 has 224 divisors, whose sum is σ = 671242772726400. Its totient is φ = 72088087560192.

The previous prime is 234645363546331. The next prime is 234645363546443.

234645363546432 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 31 ways as a sum of consecutive naturals, for example, 1318491568 + ... + 1318669520.

It is an arithmetic number, because the mean of its divisors is an integer number (2996619521100).

Almost surely, 2^{234645363546432} 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 234645363546432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335621386363200).

234645363546432 is an abundant number, since it is smaller than the sum of its proper divisors (436597409179968).

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

234645363546432 is a wasteful number, since it uses less digits than its factorization.

234645363546432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187793 (or 187783 counting only the distinct ones).

The product of its digits is 447897600, while the sum is 60.

The spelling of 234645363546432 in words is "two hundred thirty-four trillion, six hundred forty-five billion, three hundred sixty-three million, five hundred forty-six thousand, four hundred thirty-two".