238545406720 has 144 divisors (see below), whose sum is σ = 610164414720. Its totient is φ = 89155584000.

The previous prime is 238545406717. The next prime is 238545406777. The reversal of 238545406720 is 27604545832.

238545406720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×238545406720³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1047070 + ... + 1254370.

It is an arithmetic number, because the mean of its divisors is an integer number (4237252880).

Almost surely, 2^238545406720 is an apocalyptic number.

238545406720 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 238545406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305082207360).

238545406720 is an abundant number, since it is smaller than the sum of its proper divisors (371619008000).

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

238545406720 is a wasteful number, since it uses less digits than its factorization.

238545406720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207382 (or 207368 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 46.

The spelling of 238545406720 in words is "two hundred thirty-eight billion, five hundred forty-five million, four hundred six thousand, seven hundred twenty".