938141568 has 512 divisors, whose sum is σ = 3609984000. Its totient is φ = 232906752.

The previous prime is 938141563. The next prime is 938141591. The reversal of 938141568 is 865141839.

938141568 is a `hidden beast` number, since 9 + 3 + 81 + 4 + 1 + 568 = 666.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (938141563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5975346 + ... + 5975502.

It is an arithmetic number, because the mean of its divisors is an integer number (7050750).

Almost surely, 2^938141568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 938141568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804992000).

938141568 is an abundant number, since it is smaller than the sum of its proper divisors (2671842432).

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

938141568 is a wasteful number, since it uses less digits than its factorization.

938141568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 201 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 938141568 is about 30629.0967545568. The cubic root of 938141568 is about 978.9401174993.

The spelling of 938141568 in words is "nine hundred thirty-eight million, one hundred forty-one thousand, five hundred sixty-eight".