9381493968 has 480 divisors, whose sum is σ = 32218771200. Its totient is φ = 2299207680.

The previous prime is 9381493951. The next prime is 9381493969. The reversal of 9381493968 is 8693941839.

9381493968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×9381493968³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9381493969) 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 95 ways as a sum of consecutive naturals, for example, 86068698 + ... + 86068806.

It is an arithmetic number, because the mean of its divisors is an integer number (67122440).

Almost surely, 2^9381493968 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 9381493968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16109385600).

9381493968 is an abundant number, since it is smaller than the sum of its proper divisors (22837277232).

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

9381493968 is a wasteful number, since it uses less digits than its factorization.

9381493968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 234 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 60.

The square root of 9381493968 is about 96858.1125564606. The cubic root of 9381493968 is about 2109.0684153035.

The spelling of 9381493968 in words is "nine billion, three hundred eighty-one million, four hundred ninety-three thousand, nine hundred sixty-eight".