9083466626641 has 81 divisors (see below), whose sum is σ = 10805252112571. Its totient is φ = 7628730524800.

The previous prime is 9083466626609. The next prime is 9083466626677. The reversal of 9083466626641 is 1466266643809.

The square root of 9083466626641 is 3013879.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7071903083025 + 2011563543616 = 2659305^2 + 1418296^2 .

It is not a de Polignac number, because 9083466626641 - 2⁵ = 9083466626609 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9083466626641.

It is not an unprimeable number, because it can be changed into a prime (9083466626681) 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 80 ways as a sum of consecutive naturals, for example, 40015271370 + ... + 40015271596.

Almost surely, 2^{9083466626641} is an apocalyptic number.

9083466626641 is the 3013879-th square number.

9083466626641 is the 1506940-th centered octagonal number.

It is an amenable number.

9083466626641 is a deficient number, since it is larger than the sum of its proper divisors (1721785485930).

9083466626641 is an equidigital number, since it uses as much as digits as its factorization.

9083466626641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 61.

The spelling of 9083466626641 in words is "nine trillion, eighty-three billion, four hundred sixty-six million, six hundred twenty-six thousand, six hundred forty-one".