9156109408992 has 768 divisors, whose sum is σ = 34102359244800. Its totient is φ = 2324917002240.

The previous prime is 9156109408991. The next prime is 9156109408997. The reversal of 9156109408992 is 2998049016519.

9156109408992 is a `hidden beast` number, since 9 + 1 + 5 + 610 + 9 + 4 + 0 + 8 + 9 + 9 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9156109408991) 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 127 ways as a sum of consecutive naturals, for example, 480147234 + ... + 480166302.

It is an arithmetic number, because the mean of its divisors is an integer number (44404113600).

Almost surely, 2^{9156109408992} 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 9156109408992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17051179622400).

9156109408992 is an abundant number, since it is smaller than the sum of its proper divisors (24946249835808).

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

9156109408992 is a wasteful number, since it uses less digits than its factorization.

9156109408992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19336 (or 19322 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 63.

The spelling of 9156109408992 in words is "nine trillion, one hundred fifty-six billion, one hundred nine million, four hundred eight thousand, nine hundred ninety-two".