232038144000 has 1152 divisors, whose sum is σ = 922680944640. Its totient is φ = 55738368000.

The previous prime is 232038143999. The next prime is 232038144029. The reversal of 232038144000 is 441830232.

It is a tau number, because it is divible by the number of its divisors (1152).

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, 1827071937 + ... + 1827072063.

It is an arithmetic number, because the mean of its divisors is an integer number (800938320).

Almost surely, 2^232038144000 is an apocalyptic number.

232038144000 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 232038144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461340472320).

232038144000 is an abundant number, since it is smaller than the sum of its proper divisors (690642800640).

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

232038144000 is a wasteful number, since it uses less digits than its factorization.

232038144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 232038144000 its reverse (441830232), we get a palindrome (232479974232).

The spelling of 232038144000 in words is "two hundred thirty-two billion, thirty-eight million, one hundred forty-four thousand".