234251444152432 has 160 divisors (see below), whose sum is σ = 526264535664000. Its totient is φ = 98939529216000.

The previous prime is 234251444152421. The next prime is 234251444152441.

234251444152432 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, 2246296132 + ... + 2246400412.

It is an arithmetic number, because the mean of its divisors is an integer number (3289153347900).

Almost surely, 2^{234251444152432} 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 234251444152432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263132267832000).

234251444152432 is an abundant number, since it is smaller than the sum of its proper divisors (292013091511568).

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

234251444152432 is a wasteful number, since it uses less digits than its factorization.

234251444152432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105315 (or 105309 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 46.

The spelling of 234251444152432 in words is "two hundred thirty-four trillion, two hundred fifty-one billion, four hundred forty-four million, one hundred fifty-two thousand, four hundred thirty-two".