238505984640 has 2304 divisors, whose sum is σ = 1137720729600. Its totient is φ = 44889292800.

The previous prime is 238505984623. The next prime is 238505984653. The reversal of 238505984640 is 46489505832.

238505984640 is a `hidden beast` number, since 2 + 3 + 8 + 5 + 0 + 598 + 4 + 6 + 40 = 666.

238505984640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2873566039 + ... + 2873566121.

It is an arithmetic number, because the mean of its divisors is an integer number (493802400).

Almost surely, 2^238505984640 is an apocalyptic number.

238505984640 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 238505984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568860364800).

238505984640 is an abundant number, since it is smaller than the sum of its proper divisors (899214744960).

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

238505984640 is a wasteful number, since it uses less digits than its factorization.

238505984640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 238505984640 in words is "two hundred thirty-eight billion, five hundred five million, nine hundred eighty-four thousand, six hundred forty".