238608249030144 has 800 divisors, whose sum is σ = 831332767636800. Its totient is φ = 68108216795136.

The previous prime is 238608249030127. The next prime is 238608249030163. The reversal of 238608249030144 is 441030942806832.

It is a happy number.

238608249030144 is a `hidden beast` number, since 2 + 3 + 8 + 6 + 0 + 8 + 2 + 490 + 3 + 0 + 144 = 666.

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

It is a congruent number.

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, 15889201324 + ... + 15889216340.

It is an arithmetic number, because the mean of its divisors is an integer number (1039165959546).

Almost surely, 2^{238608249030144} is an apocalyptic number.

238608249030144 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 238608249030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415666383818400).

238608249030144 is an abundant number, since it is smaller than the sum of its proper divisors (592724518606656).

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

238608249030144 is an equidigital number, since it uses as much as digits as its factorization.

238608249030144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16185 (or 16146 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 238608249030144 in words is "two hundred thirty-eight trillion, six hundred eight billion, two hundred forty-nine million, thirty thousand, one hundred forty-four".