238350816520128 has 672 divisors, whose sum is σ = 796822790400000. Its totient is φ = 70092200116224.

The previous prime is 238350816520121. The next prime is 238350816520183. The reversal of 238350816520128 is 821025618053832.

It is a happy number.

238350816520128 is a `hidden beast` number, since 2 + 3 + 8 + 3 + 508 + 1 + 6 + 5 + 2 + 0 + 128 = 666.

It is a super-2 number, since 2×238350816520128² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238350816520121) 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 95 ways as a sum of consecutive naturals, for example, 5807889433 + ... + 5807930471.

It is an arithmetic number, because the mean of its divisors is an integer number (1185748200000).

Almost surely, 2^{238350816520128} 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 238350816520128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398411395200000).

238350816520128 is an abundant number, since it is smaller than the sum of its proper divisors (558471973879872).

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

238350816520128 is a wasteful number, since it uses less digits than its factorization.

238350816520128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42351 (or 42329 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 238350816520128 in words is "two hundred thirty-eight trillion, three hundred fifty billion, eight hundred sixteen million, five hundred twenty thousand, one hundred twenty-eight".