238004570978208 has 480 divisors, whose sum is σ = 725890600512000. Its totient is φ = 76439015110656.

The previous prime is 238004570978179. The next prime is 238004570978221. The reversal of 238004570978208 is 802879075400832.

238004570978208 is a `hidden beast` number, since 2 + 38 + 0 + 0 + 4 + 570 + 9 + 7 + 8 + 20 + 8 = 666.

238004570978208 is digitally balanced in base 2 and base 4, because in such bases 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 79 ways as a sum of consecutive naturals, for example, 21941966641 + ... + 21941977487.

It is an arithmetic number, because the mean of its divisors is an integer number (1512272084400).

Almost surely, 2^{238004570978208} 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 238004570978208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362945300256000).

238004570978208 is an abundant number, since it is smaller than the sum of its proper divisors (487886029533792).

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

238004570978208 is a wasteful number, since it uses less digits than its factorization.

238004570978208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13114 (or 13097 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 238004570978208 in words is "two hundred thirty-eight trillion, four billion, five hundred seventy million, nine hundred seventy-eight thousand, two hundred eight".