238896417312 has 1152 divisors, whose sum is σ = 893555712000. Its totient is φ = 61695406080.

The previous prime is 238896417289. The next prime is 238896417313. The reversal of 238896417312 is 213714698832.

It is a happy number.

238896417312 is a `hidden beast` number, since 2 + 388 + 96 + 4 + 173 + 1 + 2 = 666.

238896417312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (238896417313) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2684229364 + ... + 2684229452.

It is an arithmetic number, because the mean of its divisors is an integer number (775656000).

Almost surely, 2^238896417312 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 238896417312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446777856000).

238896417312 is an abundant number, since it is smaller than the sum of its proper divisors (654659294688).

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

238896417312 is a wasteful number, since it uses less digits than its factorization.

238896417312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 238 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 238896417312 in words is "two hundred thirty-eight billion, eight hundred ninety-six million, four hundred seventeen thousand, three hundred twelve".