238840568378048 has 896 divisors, whose sum is σ = 649693694361600. Its totient is φ = 84519750205440.

The previous prime is 238840568378033. The next prime is 238840568378063. The reversal of 238840568378048 is 840873865048832.

238840568378048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (238840568378033) and next prime (238840568378063).

It is a Harshad number since it is a multiple of its sum of digits (74).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22892793440 + ... + 22892803872.

It is an arithmetic number, because the mean of its divisors is an integer number (725104569600).

Almost surely, 2^{238840568378048} is an apocalyptic number.

238840568378048 is a gapful number since it is divisible by the number (28) 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 238840568378048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324846847180800).

238840568378048 is an abundant number, since it is smaller than the sum of its proper divisors (410853125983552).

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

238840568378048 is a wasteful number, since it uses less digits than its factorization.

238840568378048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10705 (or 10695 counting only the distinct ones).

The product of its (nonzero) digits is 1981808640, while the sum is 74.

The spelling of 238840568378048 in words is "two hundred thirty-eight trillion, eight hundred forty billion, five hundred sixty-eight million, three hundred seventy-eight thousand, forty-eight".