892947511681 has 9 divisors (see below), whose sum is σ = 896605201219. Its totient is φ = 889304694736.

The previous prime is 892947511649. The next prime is 892947511699. The reversal of 892947511681 is 186115749298.

The square root of 892947511681 is 944959.

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., 283636130625 + 609311381056 = 532575^2 + 780584^2 .

It is not a de Polignac number, because 892947511681 - 2⁵ = 892947511649 is a prime.

It is a super-2 number, since 2×892947511681² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (892947511081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 248522421 + ... + 248526013.

Almost surely, 2^892947511681 is an apocalyptic number.

892947511681 is the 944959-th square number.

892947511681 is the 472480-th centered octagonal number.

It is an amenable number.

892947511681 is a deficient number, since it is larger than the sum of its proper divisors (3657689538).

892947511681 is an frugal number, since it uses more digits than its factorization.

892947511681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7712 (or 3856 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 61.

The spelling of 892947511681 in words is "eight hundred ninety-two billion, nine hundred forty-seven million, five hundred eleven thousand, six hundred eighty-one".