238008264818688 has 2736 divisors, whose sum is σ = 918965555988480. Its totient is φ = 58731295408128.

The previous prime is 238008264818609. The next prime is 238008264818693. The reversal of 238008264818688 is 886818462800832.

It is a happy number.

238008264818688 is a `hidden beast` number, since 2 + 3 + 8 + 0 + 0 + 82 + 6 + 481 + 8 + 68 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1874080825281 + ... + 1874080825407.

It is an arithmetic number, because the mean of its divisors is an integer number (335879223680).

Almost surely, 2^{238008264818688} is an apocalyptic number.

238008264818688 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 238008264818688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459482777994240).

238008264818688 is an abundant number, since it is smaller than the sum of its proper divisors (680957291169792).

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

238008264818688 is a wasteful number, since it uses less digits than its factorization.

238008264818688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 452984832, while the sum is 72.

The spelling of 238008264818688 in words is "two hundred thirty-eight trillion, eight billion, two hundred sixty-four million, eight hundred eighteen thousand, six hundred eighty-eight".