238268106144 has 192 divisors, whose sum is σ = 698589722880. Its totient is φ = 79007892480.

The previous prime is 238268106127. The next prime is 238268106157. The reversal of 238268106144 is 441601862832.

238268106144 is a `hidden beast` number, since 2 + 3 + 8 + 26 + 8 + 1 + 0 + 614 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 238268106144.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172532334 + ... + 172533714.

It is an arithmetic number, because the mean of its divisors is an integer number (3638488140).

Almost surely, 2^238268106144 is an apocalyptic number.

238268106144 is a gapful number since it is divisible by the number (24) 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 238268106144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349294861440).

238268106144 is an abundant number, since it is smaller than the sum of its proper divisors (460321616736).

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

238268106144 is a wasteful number, since it uses less digits than its factorization.

238268106144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2300 (or 2286 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

Adding to 238268106144 its reverse (441601862832), we get a palindrome (679869968976).

The spelling of 238268106144 in words is "two hundred thirty-eight billion, two hundred sixty-eight million, one hundred six thousand, one hundred forty-four".