232431144000 has 224 divisors, whose sum is σ = 837260191872. Its totient is φ = 56346880000.

The previous prime is 232431143977. The next prime is 232431144019. The reversal of 232431144000 is 441134232.

232431144000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×232431144000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176211 + ... + 704210.

Almost surely, 2^232431144000 is an apocalyptic number.

232431144000 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 232431144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418630095936).

232431144000 is an abundant number, since it is smaller than the sum of its proper divisors (604829047872).

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

232431144000 is a wasteful number, since it uses less digits than its factorization.

232431144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880462 (or 880442 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 232431144000 its reverse (441134232), we get a palindrome (232872278232).

The spelling of 232431144000 in words is "two hundred thirty-two billion, four hundred thirty-one million, one hundred forty-four thousand".