9097081344 has 240 divisors, whose sum is σ = 29940943032. Its totient is φ = 2634153984.

The previous prime is 9097081337. The next prime is 9097081363. The reversal of 9097081344 is 4431807909.

It can be written as a sum of positive squares in 4 ways, for example, as 6464160000 + 2632921344 = 80400^2 + 51312^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 9097081344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1013902 + ... + 1022834.

Almost surely, 2^9097081344 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 9097081344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14970471516).

9097081344 is an abundant number, since it is smaller than the sum of its proper divisors (20843861688).

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

9097081344 is a wasteful number, since it uses less digits than its factorization.

9097081344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8987 (or 8968 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 9097081344 is about 95378.6210007253. The cubic root of 9097081344 is about 2087.5362514364.

The spelling of 9097081344 in words is "nine billion, ninety-seven million, eighty-one thousand, three hundred forty-four".