238874641488000 has 4608 divisors, whose sum is σ = 1101074894599680. Its totient is φ = 50379522048000.

The previous prime is 238874641487893. The next prime is 238874641488011. The reversal of 238874641488000 is 884146478832.

238874641488000 is a `hidden beast` number, since 2 + 3 + 8 + 87 + 464 + 14 + 8 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×238874641488000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 402824015704 + ... + 402824016296.

It is an arithmetic number, because the mean of its divisors is an integer number (238948544835).

Almost surely, 2^{238874641488000} is an apocalyptic number.

238874641488000 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 238874641488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550537447299840).

238874641488000 is an abundant number, since it is smaller than the sum of its proper divisors (862200253111680).

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

238874641488000 is an equidigital number, since it uses as much as digits as its factorization.

238874641488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 66060288, while the sum is 63.

The spelling of 238874641488000 in words is "two hundred thirty-eight trillion, eight hundred seventy-four billion, six hundred forty-one million, four hundred eighty-eight thousand".