56845130864041 has 9 divisors (see below), whose sum is σ = 61554301093431. Its totient is φ = 52472338015032.

The previous prime is 56845130863967. The next prime is 56845130864089. The reversal of 56845130864041 is 14046803154865.

The square root of 56845130864041 is 7539571.

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., 8409043027225 + 48436087836816 = 2899835^2 + 6959604^2 .

It is not a de Polignac number, because 56845130864041 - 2⁹ = 56845130863529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56845130874041) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 97724440 + ... + 98304406.

It is an arithmetic number, because the mean of its divisors is an integer number (6839366788159).

Almost surely, 2^{56845130864041} is an apocalyptic number.

56845130864041 is the 7539571-st square number.

56845130864041 is the 3769786-th centered octagonal number.

It is an amenable number.

56845130864041 is a deficient number, since it is larger than the sum of its proper divisors (4709170229390).

56845130864041 is an frugal number, since it uses more digits than its factorization.

56845130864041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159960 (or 579980 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 55.

The spelling of 56845130864041 in words is "fifty-six trillion, eight hundred forty-five billion, one hundred thirty million, eight hundred sixty-four thousand, forty-one".