238319921280 has 256 divisors, whose sum is σ = 898103635200. Its totient is φ = 52594655232.

The previous prime is 238319921219. The next prime is 238319921297. The reversal of 238319921280 is 82129913832.

238319921280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84034 + ... + 695486.

It is an arithmetic number, because the mean of its divisors is an integer number (3508217325).

Almost surely, 2^238319921280 is an apocalyptic number.

238319921280 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 238319921280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449051817600).

238319921280 is an abundant number, since it is smaller than the sum of its proper divisors (659783713920).

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

238319921280 is a wasteful number, since it uses less digits than its factorization.

238319921280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611511 (or 611499 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 238319921280 in words is "two hundred thirty-eight billion, three hundred nineteen million, nine hundred twenty-one thousand, two hundred eighty".