9089145662041 has 9 divisors (see below), whose sum is σ = 9104913316989. Its totient is φ = 9073405281600.

The previous prime is 9089145662021. The next prime is 9089145662137. The reversal of 9089145662041 is 1402665419809.

The square root of 9089145662041 is 3014821.

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

It can be written as a sum of positive squares in 4 ways, for example, as 192169133641 + 8896976528400 = 438371^2 + 2982780^2 .

It is not a de Polignac number, because 9089145662041 - 2⁴³ = 293052639833 is a prime.

It is a super-2 number, since 2×9089145662041² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9089145662021) 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 8 ways as a sum of consecutive naturals, for example, 1992794401 + ... + 1992798961.

It is an arithmetic number, because the mean of its divisors is an integer number (1011657035221).

Almost surely, 2^{9089145662041} is an apocalyptic number.

9089145662041 is the 3014821-st square number.

9089145662041 is the 1507411-st centered octagonal number.

It is an amenable number.

9089145662041 is a deficient number, since it is larger than the sum of its proper divisors (15767654948).

9089145662041 is an frugal number, since it uses more digits than its factorization.

9089145662041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10444 (or 5222 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 55.

The spelling of 9089145662041 in words is "nine trillion, eighty-nine billion, one hundred forty-five million, six hundred sixty-two thousand, forty-one".