234159324672 has 480 divisors, whose sum is σ = 790557213600. Its totient is φ = 61039706112.

The previous prime is 234159324661. The next prime is 234159324673. The reversal of 234159324672 is 276423951432.

234159324672 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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234159324673) 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 47 ways as a sum of consecutive naturals, for example, 87079104 + ... + 87081792.

It is an arithmetic number, because the mean of its divisors is an integer number (1646994195).

Almost surely, 2^234159324672 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 234159324672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395278606800).

234159324672 is an abundant number, since it is smaller than the sum of its proper divisors (556397888928).

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

234159324672 is a wasteful number, since it uses less digits than its factorization.

234159324672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826 (or 2803 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 48.

The spelling of 234159324672 in words is "two hundred thirty-four billion, one hundred fifty-nine million, three hundred twenty-four thousand, six hundred seventy-two".