234223202322432 has 72 divisors (see below), whose sum is σ = 676479610276470. Its totient is φ = 78074400768000.

The previous prime is 234223202322413. The next prime is 234223202322437.

It is a happy number.

234223202322432 is a `hidden beast` number, since 2 + 3 + 4 + 2 + 2 + 320 + 2 + 322 + 4 + 3 + 2 = 666.

234223202322432 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 170060795421696 + 64162406900736 = 13040736^2 + 8010144^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (234223202322437) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6353692569 + ... + 6353729432.

Almost surely, 2^{234223202322432} is an apocalyptic number.

It is an amenable number.

234223202322432 is an abundant number, since it is smaller than the sum of its proper divisors (442256407954038).

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

234223202322432 is a wasteful number, since it uses less digits than its factorization.

234223202322432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12707422029 (or 12707422006 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

It can be divided in two parts, 23422320 and 2322432, that added together give a palindrome (25744752).

The spelling of 234223202322432 in words is "two hundred thirty-four trillion, two hundred twenty-three billion, two hundred two million, three hundred twenty-two thousand, four hundred thirty-two".