234434585434432 has 112 divisors (see below), whose sum is σ = 475171331283072. Its totient is φ = 114731375616000.

The previous prime is 234434585434403. The next prime is 234434585434447.

234434585434432 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, 2080791733 + ... + 2080904395.

Almost surely, 2^{234434585434432} 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 234434585434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237585665641536).

234434585434432 is an abundant number, since it is smaller than the sum of its proper divisors (240736745848640).

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

234434585434432 is a wasteful number, since it uses less digits than its factorization.

234434585434432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116136 (or 116126 counting only the distinct ones).

The product of its digits is 265420800, while the sum is 58.

The spelling of 234434585434432 in words is "two hundred thirty-four trillion, four hundred thirty-four billion, five hundred eighty-five million, four hundred thirty-four thousand, four hundred thirty-two".