231411648 has 224 divisors, whose sum is σ = 716889600. Its totient is φ = 65286144.

The previous prime is 231411643. The next prime is 231411673. The reversal of 231411648 is 846114132.

231411648 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231411643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1664763 + ... + 1664901.

It is an arithmetic number, because the mean of its divisors is an integer number (3200400).

Almost surely, 2^231411648 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 231411648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358444800).

231411648 is an abundant number, since it is smaller than the sum of its proper divisors (485477952).

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

231411648 is a wasteful number, since it uses less digits than its factorization.

231411648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 209 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 231411648 is about 15212.2203507575. The cubic root of 231411648 is about 613.9434990644.

The spelling of 231411648 in words is "two hundred thirty-one million, four hundred eleven thousand, six hundred forty-eight".