238601304094720 has 1728 divisors, whose sum is σ = 722934506548800. Its totient is φ = 75259183104000.

The previous prime is 238601304094709. The next prime is 238601304094739. The reversal of 238601304094720 is 27490403106832.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 1580141086645 + ... + 1580141086795.

It is an arithmetic number, because the mean of its divisors is an integer number (418364876475).

Almost surely, 2^{238601304094720} is an apocalyptic number.

238601304094720 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 238601304094720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361467253274400).

238601304094720 is an abundant number, since it is smaller than the sum of its proper divisors (484333202454080).

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

238601304094720 is a wasteful number, since it uses less digits than its factorization.

238601304094720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

The spelling of 238601304094720 in words is "two hundred thirty-eight trillion, six hundred one billion, three hundred four million, ninety-four thousand, seven hundred twenty".