238128436224 has 704 divisors, whose sum is σ = 860675397120. Its totient is φ = 63488655360.

The previous prime is 238128436213. The next prime is 238128436261. The reversal of 238128436224 is 422634821832.

238128436224 is a `hidden beast` number, since 2 + 3 + 8 + 1 + 284 + 362 + 2 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 238128436224.

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 63 ways as a sum of consecutive naturals, for example, 516547354 + ... + 516547814.

It is an arithmetic number, because the mean of its divisors is an integer number (1222550280).

Almost surely, 2^238128436224 is an apocalyptic number.

238128436224 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 238128436224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430337698560).

238128436224 is an abundant number, since it is smaller than the sum of its proper divisors (622546960896).

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

238128436224 is a wasteful number, since it uses less digits than its factorization.

238128436224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 647 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The spelling of 238128436224 in words is "two hundred thirty-eight billion, one hundred twenty-eight million, four hundred thirty-six thousand, two hundred twenty-four".