9166805251201 has 8 divisors (see below), whose sum is σ = 9872256479400. Its totient is φ = 8461398646272.

The previous prime is 9166805251183. The next prime is 9166805251217. The reversal of 9166805251201 is 1021525086619.

It can be written as a sum of positive squares in 4 ways, for example, as 4457249888400 + 4709555362801 = 2111220^2 + 2170151^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 9166805251201 - 2²¹ = 9166803154049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9166805251271) 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 7 ways as a sum of consecutive naturals, for example, 10728550 + ... + 11551423.

It is an arithmetic number, because the mean of its divisors is an integer number (1234032059925).

Almost surely, 2^{9166805251201} is an apocalyptic number.

It is an amenable number.

9166805251201 is a deficient number, since it is larger than the sum of its proper divisors (705451228199).

9166805251201 is a wasteful number, since it uses less digits than its factorization.

9166805251201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22311635.

The product of its (nonzero) digits is 259200, while the sum is 46.

The spelling of 9166805251201 in words is "nine trillion, one hundred sixty-six billion, eight hundred five million, two hundred fifty-one thousand, two hundred one".