232544125000 has 224 divisors, whose sum is σ = 605973493440. Its totient is φ = 82940000000.

The previous prime is 232544124991. The next prime is 232544125049. The reversal of 232544125000 is 521445232.

It is a self number, because there is not a number n which added to its sum of digits gives 232544125000.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 72873405 + ... + 72876595.

It is an arithmetic number, because the mean of its divisors is an integer number (2705238810).

Almost surely, 2^232544125000 is an apocalyptic number.

232544125000 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 232544125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302986746720).

232544125000 is an abundant number, since it is smaller than the sum of its proper divisors (373429368440).

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

232544125000 is an equidigital number, since it uses as much as digits as its factorization.

232544125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3291 (or 3262 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The spelling of 232544125000 in words is "two hundred thirty-two billion, five hundred forty-four million, one hundred twenty-five thousand".