238776201216 has 624 divisors, whose sum is σ = 837498165504. Its totient is φ = 66551611392.

The previous prime is 238776201199. The next prime is 238776201247. The reversal of 238776201216 is 612102677832.

238776201216 is a `hidden beast` number, since 2 + 3 + 8 + 7 + 7 + 620 + 1 + 2 + 16 = 666.

238776201216 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 299593330 + ... + 299594126.

It is an arithmetic number, because the mean of its divisors is an integer number (1342144496).

Almost surely, 2^238776201216 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 238776201216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418749082752).

238776201216 is an abundant number, since it is smaller than the sum of its proper divisors (598721964288).

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

238776201216 is an frugal number, since it uses more digits than its factorization.

238776201216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 238776201216 in words is "two hundred thirty-eight billion, seven hundred seventy-six million, two hundred one thousand, two hundred sixteen".