9491968087008 has 288 divisors, whose sum is σ = 27946872043776. Its totient is φ = 2818126080000.

The previous prime is 9491968087001. The next prime is 9491968087033. The reversal of 9491968087008 is 8007808691949.

It is a super-2 number, since 2×9491968087008² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9491968087001) 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 47 ways as a sum of consecutive naturals, for example, 128006103 + ... + 128080233.

It is an arithmetic number, because the mean of its divisors is an integer number (97037750152).

Almost surely, 2^{9491968087008} 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 9491968087008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13973436021888).

9491968087008 is an abundant number, since it is smaller than the sum of its proper divisors (18454903956768).

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

9491968087008 is a wasteful number, since it uses less digits than its factorization.

9491968087008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74390 (or 74371 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 69.

The spelling of 9491968087008 in words is "nine trillion, four hundred ninety-one billion, nine hundred sixty-eight million, eighty-seven thousand, eight".