238851870928272 has 960 divisors, whose sum is σ = 847866875904000. Its totient is φ = 64009581253632.

The previous prime is 238851870928259. The next prime is 238851870928273. The reversal of 238851870928272 is 272829078158832.

238851870928272 is a `hidden beast` number, since 2 + 3 + 88 + 518 + 7 + 0 + 9 + 2 + 8 + 27 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 238851870928272.

It is not an unprimeable number, because it can be changed into a prime (238851870928273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25998892863 + ... + 25998902049.

It is an arithmetic number, because the mean of its divisors is an integer number (883194662400).

Almost surely, 2^{238851870928272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238851870928272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423933437952000).

238851870928272 is an abundant number, since it is smaller than the sum of its proper divisors (609015004975728).

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

238851870928272 is a wasteful number, since it uses less digits than its factorization.

238851870928272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9873 (or 9854 counting only the distinct ones).

The product of its (nonzero) digits is 433520640, while the sum is 72.

The spelling of 238851870928272 in words is "two hundred thirty-eight trillion, eight hundred fifty-one billion, eight hundred seventy million, nine hundred twenty-eight thousand, two hundred seventy-two".