231144404441132 has 192 divisors, whose sum is σ = 512764245826560. Its totient is φ = 88749887238144.

The previous prime is 231144404441131. The next prime is 231144404441141.

231144404441132 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (231144404441131) 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 63 ways as a sum of consecutive naturals, for example, 614072408 + ... + 614448704.

It is an arithmetic number, because the mean of its divisors is an integer number (2670647113680).

Almost surely, 2^{231144404441132} 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 231144404441132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256382122913280).

231144404441132 is an abundant number, since it is smaller than the sum of its proper divisors (281619841385428).

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

231144404441132 is a wasteful number, since it uses less digits than its factorization.

231144404441132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376760 (or 376758 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

It can be divided in two parts, 23114440 and 4441132, that added together give a palindrome (27555572).

The spelling of 231144404441132 in words is "two hundred thirty-one trillion, one hundred forty-four billion, four hundred four million, four hundred forty-one thousand, one hundred thirty-two".