8953805428681 has 9 divisors (see below), whose sum is σ = 9449921134791. Its totient is φ = 8482498650144.

The previous prime is 8953805428651. The next prime is 8953805428709. The reversal of 8953805428681 is 1868245083598.

The square root of 8953805428681 is 2992291.

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., 3734591035081 + 5219214393600 = 1932509^2 + 2284560^2 .

It is not a de Polignac number, because 8953805428681 - 2²⁵ = 8953771874249 is a prime.

It is a super-2 number, since 2×8953805428681² (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 (8953805428651) 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, 56774785 + ... + 56932273.

It is an arithmetic number, because the mean of its divisors is an integer number (1049991237199).

Almost surely, 2^{8953805428681} is an apocalyptic number.

8953805428681 is the 2992291-st square number.

8953805428681 is the 1496146-th centered octagonal number.

It is an amenable number.

8953805428681 is a deficient number, since it is larger than the sum of its proper divisors (496115706110).

8953805428681 is an frugal number, since it uses more digits than its factorization.

8953805428681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315016 (or 157508 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 67.

The spelling of 8953805428681 in words is "eight trillion, nine hundred fifty-three billion, eight hundred five million, four hundred twenty-eight thousand, six hundred eighty-one".