231641316864 has 960 divisors, whose sum is σ = 786449664000. Its totient is φ = 67722117120.

The previous prime is 231641316839. The next prime is 231641316871. The reversal of 231641316864 is 468613146132.

231641316864 is a `hidden beast` number, since 2 + 3 + 16 + 413 + 168 + 64 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2125149642 + ... + 2125149750.

It is an arithmetic number, because the mean of its divisors is an integer number (819218400).

Almost surely, 2^231641316864 is an apocalyptic number.

231641316864 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 231641316864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393224832000).

231641316864 is an abundant number, since it is smaller than the sum of its proper divisors (554808347136).

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

231641316864 is a wasteful number, since it uses less digits than its factorization.

231641316864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 193 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 231641316864 in words is "two hundred thirty-one billion, six hundred forty-one million, three hundred sixteen thousand, eight hundred sixty-four".