234826404628432 has 160 divisors (see below), whose sum is σ = 495507005521920. Its totient is φ = 107446169571840.

The previous prime is 234826404628429. The next prime is 234826404628441.

234826404628432 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1175130958 + ... + 1175330770.

It is an arithmetic number, because the mean of its divisors is an integer number (3096918784512).

Almost surely, 2^{234826404628432} 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 234826404628432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247753502760960).

234826404628432 is an abundant number, since it is smaller than the sum of its proper divisors (260680600893488).

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

234826404628432 is a wasteful number, since it uses less digits than its factorization.

234826404628432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200961 (or 200955 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 58.

The spelling of 234826404628432 in words is "two hundred thirty-four trillion, eight hundred twenty-six billion, four hundred four million, six hundred twenty-eight thousand, four hundred thirty-two".