56548364401 has 9 divisors (see below), whose sum is σ = 58127049099. Its totient is φ = 55011469464.

The previous prime is 56548364393. The next prime is 56548364423. The reversal of 56548364401 is 10446384565.

The square root of 56548364401 is 237799.

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., 50600253025 + 5948111376 = 224945^2 + 77124^2 .

It is not a de Polignac number, because 56548364401 - 2³ = 56548364393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (56548364501) 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, 8795350 + ... + 8801776.

It is an arithmetic number, because the mean of its divisors is an integer number (6458561011).

Almost surely, 2^56548364401 is an apocalyptic number.

56548364401 is the 237799-th square number.

56548364401 is the 118900-th centered octagonal number.

It is an amenable number.

56548364401 is a deficient number, since it is larger than the sum of its proper divisors (1578684698).

56548364401 is an frugal number, since it uses more digits than its factorization.

56548364401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12928 (or 6464 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 46.

The spelling of 56548364401 in words is "fifty-six billion, five hundred forty-eight million, three hundred sixty-four thousand, four hundred one".