231441186816 has 480 divisors, whose sum is σ = 809308200960. Its totient is φ = 63966412800.

The previous prime is 231441186811. The next prime is 231441186901. The reversal of 231441186816 is 618681144132.

231441186816 is a `hidden beast` number, since 23 + 1 + 441 + 186 + 8 + 1 + 6 = 666.

It is a super-2 number, since 2×231441186816² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (231441186811) 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, 95992651 + ... + 95995061.

It is an arithmetic number, because the mean of its divisors is an integer number (1686058752).

Almost surely, 2^231441186816 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 231441186816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404654100480).

231441186816 is an abundant number, since it is smaller than the sum of its proper divisors (577867014144).

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

231441186816 is an equidigital number, since it uses as much as digits as its factorization.

231441186816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2486 (or 2454 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The spelling of 231441186816 in words is "two hundred thirty-one billion, four hundred forty-one million, one hundred eighty-six thousand, eight hundred sixteen".