234318813432 has 128 divisors (see below), whose sum is σ = 672887520000. Its totient is φ = 67248368640.

The previous prime is 234318813427. The next prime is 234318813437.

234318813432 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (234318813427) and next prime (234318813437).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234318813437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27327898 + ... + 27336470.

It is an arithmetic number, because the mean of its divisors is an integer number (5256933750).

Almost surely, 2^234318813432 is an apocalyptic number.

234318813432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234318813432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336443760000).

234318813432 is an abundant number, since it is smaller than the sum of its proper divisors (438568706568).

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

234318813432 is a wasteful number, since it uses less digits than its factorization.

234318813432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14061 (or 14057 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The spelling of 234318813432 in words is "two hundred thirty-four billion, three hundred eighteen million, eight hundred thirteen thousand, four hundred thirty-two".