231817489920 has 960 divisors, whose sum is σ = 872691019200. Its totient is φ = 58923417600.

The previous prime is 231817489909. The next prime is 231817489927. The reversal of 231817489920 is 29984718132.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231817489927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1555822006 + ... + 1555822154.

It is an arithmetic number, because the mean of its divisors is an integer number (909053145).

Almost surely, 2^231817489920 is an apocalyptic number.

231817489920 is a gapful number since it is divisible by the number (20) 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 231817489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436345509600).

231817489920 is an abundant number, since it is smaller than the sum of its proper divisors (640873529280).

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

231817489920 is an equidigital number, since it uses as much as digits as its factorization.

231817489920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 231817489920 in words is "two hundred thirty-one billion, eight hundred seventeen million, four hundred eighty-nine thousand, nine hundred twenty".