9488065008840 has 256 divisors, whose sum is σ = 31174333747200. Its totient is φ = 2291070873600.

The previous prime is 9488065008713. The next prime is 9488065008841. The reversal of 9488065008840 is 488005608849.

It is a super-2 number, since 2×9488065008840² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (9488065008841) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1463978400 + ... + 1463984880.

It is an arithmetic number, because the mean of its divisors is an integer number (121774741200).

Almost surely, 2^{9488065008840} 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 9488065008840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15587166873600).

9488065008840 is an abundant number, since it is smaller than the sum of its proper divisors (21686268738360).

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

9488065008840 is a wasteful number, since it uses less digits than its factorization.

9488065008840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10708 (or 10704 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 60.

The spelling of 9488065008840 in words is "nine trillion, four hundred eighty-eight billion, sixty-five million, eight thousand, eight hundred forty".