231288214752 has 240 divisors, whose sum is σ = 786982628880. Its totient is φ = 66081754368.

The previous prime is 231288214739. The next prime is 231288214849. The reversal of 231288214752 is 257412882132.

231288214752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 231288214698 and 231288214707.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 2018718 + ... + 2130210.

It is an arithmetic number, because the mean of its divisors is an integer number (3279094287).

Almost surely, 2^231288214752 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 231288214752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393491314440).

231288214752 is an abundant number, since it is smaller than the sum of its proper divisors (555694414128).

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

231288214752 is an equidigital number, since it uses as much as digits as its factorization.

231288214752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111540 (or 111505 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

It can be divided in two parts, 231288 and 214752, that added together give a triangular number (446040 = T₉₄₄).

The spelling of 231288214752 in words is "two hundred thirty-one billion, two hundred eighty-eight million, two hundred fourteen thousand, seven hundred fifty-two".