231511540105344 has 128 divisors (see below), whose sum is σ = 616750708654080. Its totient is φ = 76945075246080.

The previous prime is 231511540105327. The next prime is 231511540105369. The reversal of 231511540105344 is 443501045115132.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 274812579 + ... + 275653725.

It is an arithmetic number, because the mean of its divisors is an integer number (4818364911360).

Almost surely, 2^{231511540105344} is an apocalyptic number.

231511540105344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231511540105344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308375354327040).

231511540105344 is an abundant number, since it is smaller than the sum of its proper divisors (385239168548736).

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

231511540105344 is a wasteful number, since it uses less digits than its factorization.

231511540105344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843258 (or 843246 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The spelling of 231511540105344 in words is "two hundred thirty-one trillion, five hundred eleven billion, five hundred forty million, one hundred five thousand, three hundred forty-four".