238555681613280 has 288 divisors, whose sum is σ = 824646482674560. Its totient is φ = 62788986224640.

The previous prime is 238555681613279. The next prime is 238555681613299. The reversal of 238555681613280 is 82316186555832.

It is a happy number.

238555681613280 is a `hidden beast` number, since 2 + 3 + 8 + 5 + 5 + 5 + 6 + 8 + 1 + 613 + 2 + 8 + 0 = 666.

238555681613280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 347876824 + ... + 348561896.

It is an arithmetic number, because the mean of its divisors is an integer number (2863355842620).

Almost surely, 2^{238555681613280} is an apocalyptic number.

238555681613280 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 238555681613280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412323241337280).

238555681613280 is an abundant number, since it is smaller than the sum of its proper divisors (586090801061280).

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

238555681613280 is a wasteful number, since it uses less digits than its factorization.

238555681613280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688234 (or 688223 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 63.

The spelling of 238555681613280 in words is "two hundred thirty-eight trillion, five hundred fifty-five billion, six hundred eighty-one million, six hundred thirteen thousand, two hundred eighty".