238709071680 has 224 divisors, whose sum is σ = 794447837568. Its totient is φ = 60658483200.

The previous prime is 238709071673. The next prime is 238709071681. The reversal of 238709071680 is 86170907832.

238709071680 is digitally balanced in base 2, 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 (238709071681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1621960 + ... + 1763000.

It is an arithmetic number, because the mean of its divisors is an integer number (3546642132).

Almost surely, 2^238709071680 is an apocalyptic number.

238709071680 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 238709071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397223918784).

238709071680 is an abundant number, since it is smaller than the sum of its proper divisors (555738765888).

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

238709071680 is a wasteful number, since it uses less digits than its factorization.

238709071680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141145 (or 141135 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 238709071680 in words is "two hundred thirty-eight billion, seven hundred nine million, seventy-one thousand, six hundred eighty".