9084575767969 has 27 divisors (see below), whose sum is σ = 10052936221113. Its totient is φ = 8205678011232.

The previous prime is 9084575767961. The next prime is 9084575768029. The reversal of 9084575767969 is 9697675754809.

The square root of 9084575767969 is 3014063.

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 2757137374369 + 6327438393600 = 1660463^2 + 2515440^2 .

It is not a de Polignac number, because 9084575767969 - 2³ = 9084575767961 is a prime.

It is a super-2 number, since 2×9084575767969² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9084575767892 and 9084575767901.

It is not an unprimeable number, because it can be changed into a prime (9084575767961) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1841590027 + ... + 1841594959.

Almost surely, 2^{9084575767969} is an apocalyptic number.

9084575767969 is the 3014063-rd square number.

9084575767969 is the 1507032-nd centered octagonal number.

It is an amenable number.

9084575767969 is a deficient number, since it is larger than the sum of its proper divisors (968360453144).

9084575767969 is an frugal number, since it uses more digits than its factorization.

9084575767969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9986 (or 4993 counting only the distinct ones).

The product of its (nonzero) digits is 7201353600, while the sum is 82.

The spelling of 9084575767969 in words is "nine trillion, eighty-four billion, five hundred seventy-five million, seven hundred sixty-seven thousand, nine hundred sixty-nine".