238948873549344 has 432 divisors, whose sum is σ = 806193435378240. Its totient is φ = 67113889113600.

The previous prime is 238948873549333. The next prime is 238948873549349. The reversal of 238948873549344 is 443945378849832.

238948873549344 is a `hidden beast` number, since 2 + 3 + 8 + 9 + 4 + 8 + 87 + 3 + 5 + 493 + 44 = 666.

It is not an unprimeable number, because it can be changed into a prime (238948873549349) 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 71 ways as a sum of consecutive naturals, for example, 285166194 + ... + 286002894.

It is an arithmetic number, because the mean of its divisors is an integer number (1866188507820).

Almost surely, 2^{238948873549344} is an apocalyptic number.

238948873549344 is a gapful number since it is divisible by the number (24) 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 238948873549344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403096717689120).

238948873549344 is an abundant number, since it is smaller than the sum of its proper divisors (567244561828896).

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

238948873549344 is an frugal number, since it uses more digits than its factorization.

238948873549344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836811 (or 836772 counting only the distinct ones).

The product of its digits is 20065812480, while the sum is 81.

The spelling of 238948873549344 in words is "two hundred thirty-eight trillion, nine hundred forty-eight billion, eight hundred seventy-three million, five hundred forty-nine thousand, three hundred forty-four".