56144828601 has 27 divisors (see below), whose sum is σ = 85611649071. Its totient is φ = 35451361584.

The previous prime is 56144828591. The next prime is 56144828611. The reversal of 56144828601 is 10682844165.

It is a happy number.

The square root of 56144828601 is 236949.

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

56144828601 is a `hidden beast` number, since 5 + 6 + 14 + 4 + 8 + 28 + 601 = 666.

56144828601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56144828591) and next prime (56144828611).

It can be written as a sum of positive squares in only one way, i.e., 25563213225 + 30581615376 = 159885^2 + 174876^2 .

It is not a de Polignac number, because 56144828601 - 2²⁵ = 56111274169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (56144828611) 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, 13504015 + ... + 13508171.

Almost surely, 2^56144828601 is an apocalyptic number.

56144828601 is the 236949-th square number.

56144828601 is the 118475-th centered octagonal number.

It is an amenable number.

56144828601 is a deficient number, since it is larger than the sum of its proper divisors (29466820470).

56144828601 is an frugal number, since it uses more digits than its factorization.

56144828601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8358 (or 4179 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 56144828601 in words is "fifty-six billion, one hundred forty-four million, eight hundred twenty-eight thousand, six hundred one".