238481106720480 has 768 divisors, whose sum is σ = 924906644686080. Its totient is φ = 57740629524480.

The previous prime is 238481106720443. The next prime is 238481106720487. The reversal of 238481106720480 is 84027601184832.

238481106720480 is a `hidden beast` number, since 2 + 3 + 8 + 4 + 81 + 1 + 0 + 67 + 20 + 480 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238481106720487) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 277056844 + ... + 277916276.

It is an arithmetic number, because the mean of its divisors is an integer number (1204305526935).

Almost surely, 2^{238481106720480} is an apocalyptic number.

238481106720480 is a gapful number since it is divisible by the number (20) 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 238481106720480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462453322343040).

238481106720480 is an abundant number, since it is smaller than the sum of its proper divisors (686425537965600).

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

238481106720480 is an equidigital number, since it uses as much as digits as its factorization.

238481106720480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859543 (or 859517 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 238481106720480 in words is "two hundred thirty-eight trillion, four hundred eighty-one billion, one hundred six million, seven hundred twenty thousand, four hundred eighty".