234426624432 has 160 divisors (see below), whose sum is σ = 813116290560. Its totient is φ = 56206172160.

The previous prime is 234426624371. The next prime is 234426624433.

234426624432 is nontrivially palindromic in base 10.

234426624432 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 (42).

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

It is not an unprimeable number, because it can be changed into a prime (234426624433) 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 31 ways as a sum of consecutive naturals, for example, 2391457 + ... + 2487552.

It is an arithmetic number, because the mean of its divisors is an integer number (5081976816).

Almost surely, 2^234426624432 is an apocalyptic number.

234426624432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

234426624432 is an abundant number, since it is smaller than the sum of its proper divisors (578689666128).

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

234426624432 is a wasteful number, since it uses less digits than its factorization.

234426624432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4879051 (or 4879045 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 42.

It can be divided in two parts, 234426 and 624432, that added together give a palindrome (858858).

The spelling of 234426624432 in words is "two hundred thirty-four billion, four hundred twenty-six million, six hundred twenty-four thousand, four hundred thirty-two".