238532688000 has 768 divisors, whose sum is σ = 935402832000. Its totient is φ = 60242227200.

The previous prime is 238532687989. The next prime is 238532688001. The reversal of 238532688000 is 886235832.

238532688000 is a `hidden beast` number, since 2 + 38 + 532 + 6 + 8 + 80 + 0 + 0 = 666.

238532688000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (238532688001) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 73870386 + ... + 73873614.

Almost surely, 2^238532688000 is an apocalyptic number.

238532688000 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 238532688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467701416000).

238532688000 is an abundant number, since it is smaller than the sum of its proper divisors (696870144000).

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

238532688000 is an equidigital number, since it uses as much as digits as its factorization.

238532688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3292 (or 3258 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 238532688000 in words is "two hundred thirty-eight billion, five hundred thirty-two million, six hundred eighty-eight thousand".