234012210432 has 1152 divisors, whose sum is σ = 906115338240. Its totient is φ = 51597803520.

The previous prime is 234012210391. The next prime is 234012210433.

It is a happy number.

234012210432 is nontrivially palindromic in base 10.

234012210432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234012210433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 540443688 + ... + 540444120.

Almost surely, 2^234012210432 is an apocalyptic number.

234012210432 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 234012210432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453057669120).

234012210432 is an abundant number, since it is smaller than the sum of its proper divisors (672103127808).

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

234012210432 is a wasteful number, since it uses less digits than its factorization.

234012210432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 234012 and 210432, that added together give a palindrome (444444).

The spelling of 234012210432 in words is "two hundred thirty-four billion, twelve million, two hundred ten thousand, four hundred thirty-two".