432256343652234 has 128 divisors (see below), whose sum is σ = 983614650670080. Its totient is φ = 140674657001472.

The previous prime is 432256343652193. The next prime is 432256343652253.

432256343652234 is a `hidden beast` number, since 4 + 3 + 2 + 2 + 5 + 6 + 343 + 65 + 2 + 234 = 666.

432256343652234 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 189505359 + ... + 191772765.

It is an arithmetic number, because the mean of its divisors is an integer number (7684489458360).

Almost surely, 2^{432256343652234} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432256343652234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491807325335040).

432256343652234 is an abundant number, since it is smaller than the sum of its proper divisors (551358307017846).

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

432256343652234 is a wasteful number, since it uses less digits than its factorization.

432256343652234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267981 (or 2267975 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 54.

The spelling of 432256343652234 in words is "four hundred thirty-two trillion, two hundred fifty-six billion, three hundred forty-three million, six hundred fifty-two thousand, two hundred thirty-four".