231132041227584 has 4704 divisors, whose sum is σ = 962531909222400. Its totient is φ = 54380860047360.

The previous prime is 231132041227583. The next prime is 231132041227609. The reversal of 231132041227584 is 485722140231132.

231132041227584 is a `hidden beast` number, since 2 + 3 + 1 + 1 + 3 + 2 + 0 + 41 + 2 + 27 + 584 = 666.

231132041227584 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (4704).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231132041227583) by changing a digit.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 526496676837 + ... + 526496677275.

Almost surely, 2^{231132041227584} is an apocalyptic number.

231132041227584 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 231132041227584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481265954611200).

231132041227584 is an abundant number, since it is smaller than the sum of its proper divisors (731399867994816).

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

231132041227584 is a wasteful number, since it uses less digits than its factorization.

231132041227584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 231132041227584 in words is "two hundred thirty-one trillion, one hundred thirty-two billion, forty-one million, two hundred twenty-seven thousand, five hundred eighty-four".