238280405616 has 320 divisors, whose sum is σ = 793363507200. Its totient is φ = 67671244800.

The previous prime is 238280405593. The next prime is 238280405617. The reversal of 238280405616 is 616504082832.

238280405616 is a `hidden beast` number, since 2 + 3 + 8 + 2 + 80 + 4 + 0 + 561 + 6 = 666.

238280405616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238280405617) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19462825 + ... + 19475063.

It is an arithmetic number, because the mean of its divisors is an integer number (2479260960).

Almost surely, 2^238280405616 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 238280405616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396681753600).

238280405616 is an abundant number, since it is smaller than the sum of its proper divisors (555083101584).

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

238280405616 is a wasteful number, since it uses less digits than its factorization.

238280405616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12525 (or 12513 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 238280405616 in words is "two hundred thirty-eight billion, two hundred eighty million, four hundred five thousand, six hundred sixteen".