231829678080 has 1728 divisors, whose sum is σ = 1101121257600. Its totient is φ = 44342968320.

The previous prime is 231829678063. The next prime is 231829678081. The reversal of 231829678080 is 80876928132.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (231829678081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 645764941 + ... + 645765299.

It is an arithmetic number, because the mean of its divisors is an integer number (637222950).

Almost surely, 2^231829678080 is an apocalyptic number.

231829678080 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 231829678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550560628800).

231829678080 is an abundant number, since it is smaller than the sum of its proper divisors (869291579520).

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

231829678080 is a wasteful number, since it uses less digits than its factorization.

231829678080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

It can be divided in two parts, 231829 and 678080, that added together give a palindrome (909909).

The spelling of 231829678080 in words is "two hundred thirty-one billion, eight hundred twenty-nine million, six hundred seventy-eight thousand, eighty".