9117648513792 has 2304 divisors, whose sum is σ = 36240218112000. Its totient is φ = 2194626576384.

The previous prime is 9117648513769. The next prime is 9117648513793. The reversal of 9117648513792 is 2973158467119.

9117648513792 is a `hidden beast` number, since 9 + 1 + 1 + 7 + 6 + 48 + 513 + 79 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (9117648513793) 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 255 ways as a sum of consecutive naturals, for example, 47241702048 + ... + 47241702240.

Almost surely, 2^{9117648513792} 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 9117648513792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18120109056000).

9117648513792 is an abundant number, since it is smaller than the sum of its proper divisors (27122569598208).

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

9117648513792 is a wasteful number, since it uses less digits than its factorization.

9117648513792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 363 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 63.

The spelling of 9117648513792 in words is "nine trillion, one hundred seventeen billion, six hundred forty-eight million, five hundred thirteen thousand, seven hundred ninety-two".