8381077110081 has 27 divisors (see below), whose sum is σ = 13109040795747. Its totient is φ = 5157516433680.

The previous prime is 8381077110041. The next prime is 8381077110137. The reversal of 8381077110081 is 1800117701838.

The square root of 8381077110081 is 2895009.

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., 1239804306225 + 7141272803856 = 1113465^2 + 2672316^2 .

It is not a de Polignac number, because 8381077110081 - 2¹³ = 8381077101889 is a prime.

It is a super-2 number, since 2×8381077110081² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8381077110031) 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, 112868236 + ... + 112942466.

Almost surely, 2^{8381077110081} is an apocalyptic number.

8381077110081 is the 2895009-th square number.

8381077110081 is the 1447505-th centered octagonal number.

It is an amenable number.

8381077110081 is a deficient number, since it is larger than the sum of its proper divisors (4727963685666).

8381077110081 is an frugal number, since it uses more digits than its factorization.

8381077110081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148494 (or 74247 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 45.

The spelling of 8381077110081 in words is "eight trillion, three hundred eighty-one billion, seventy-seven million, one hundred ten thousand, eighty-one".