231041664 has 144 divisors (see below), whose sum is σ = 773581770. Its totient is φ = 65995776.

The previous prime is 231041663. The next prime is 231041689. The reversal of 231041664 is 466140132.

It can be written as a sum of positive squares in only one way, i.e., 203918400 + 27123264 = 14280^2 + 5208^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (231041663) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 54402 + ... + 58494.

Almost surely, 2^231041664 is an apocalyptic number.

231041664 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 231041664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386790885).

231041664 is an abundant number, since it is smaller than the sum of its proper divisors (542540106).

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

231041664 is a wasteful number, since it uses less digits than its factorization.

231041664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4127 (or 4105 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 231041664 is about 15200.0547367435. The cubic root of 231041664 is about 613.6161308765.

Adding to 231041664 its reverse (466140132), we get a palindrome (697181796).

The spelling of 231041664 in words is "two hundred thirty-one million, forty-one thousand, six hundred sixty-four".