54766793410681 has 81 divisors (see below), whose sum is σ = 62964431045607. Its totient is φ = 47599752288000.

The previous prime is 54766793410627. The next prime is 54766793410687. The reversal of 54766793410681 is 18601439766745.

The square root of 54766793410681 is 7400459.

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

It can be written as a sum of positive squares in 13 ways, for example, as 20695757449081 + 34071035961600 = 4549259^2 + 5837040^2 .

It is not a de Polignac number, because 54766793410681 - 2⁹ = 54766793410169 is a prime.

It is a super-3 number, since 3×54766793410681³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54766793410687) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 203594027415 + ... + 203594027683.

Almost surely, 2^{54766793410681} is an apocalyptic number.

54766793410681 is the 7400459-th square number.

54766793410681 is the 3700230-th centered octagonal number.

It is an amenable number.

54766793410681 is a deficient number, since it is larger than the sum of its proper divisors (8197637634926).

54766793410681 is an frugal number, since it uses more digits than its factorization.

54766793410681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 67.

The spelling of 54766793410681 in words is "fifty-four trillion, seven hundred sixty-six billion, seven hundred ninety-three million, four hundred ten thousand, six hundred eighty-one".