232288100352000 has 4352 divisors, whose sum is σ = 1119335099351040. Its totient is φ = 46091206656000.

The previous prime is 232288100351959. The next prime is 232288100352043. The reversal of 232288100352000 is 253001882232.

It is a happy number.

232288100352000 is a `hidden beast` number, since 2 + 3 + 2 + 28 + 8 + 100 + 3 + 520 + 0 + 0 = 666.

It is a super-3 number, since 3×232288100352000³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 391716863704 + ... + 391716864296.

Almost surely, 2^{232288100352000} is an apocalyptic number.

232288100352000 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 232288100352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559667549675520).

232288100352000 is an abundant number, since it is smaller than the sum of its proper divisors (887046998999040).

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

232288100352000 is an equidigital number, since it uses as much as digits as its factorization.

232288100352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 232288100352000 in words is "two hundred thirty-two trillion, two hundred eighty-eight billion, one hundred million, three hundred fifty-two thousand".