56355436449 has 45 divisors (see below), whose sum is σ = 91204160553. Its totient is φ = 34663176288.

The previous prime is 56355436429. The next prime is 56355436523. The reversal of 56355436449 is 94463455365.

The square root of 56355436449 is 237393.

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

56355436449 is a `hidden beast` number, since 5 + 6 + 35 + 543 + 64 + 4 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5112965025 + 51242471424 = 71505^2 + 226368^2 .

It is not a de Polignac number, because 56355436449 - 2⁹ = 56355435937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 56355436395 and 56355436404.

It is not an unprimeable number, because it can be changed into a prime (56355436429) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 27773967 + ... + 27775995.

Almost surely, 2^56355436449 is an apocalyptic number.

56355436449 is the 237393-rd square number.

56355436449 is the 118697-th centered octagonal number.

It is an amenable number.

56355436449 is a deficient number, since it is larger than the sum of its proper divisors (34848724104).

56355436449 is an frugal number, since it uses more digits than its factorization.

56355436449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4096 (or 2045 counting only the distinct ones).

The product of its digits is 23328000, while the sum is 54.

It can be divided in two parts, 56355 and 436449, that added together give a square (492804 = 702²).

The spelling of 56355436449 in words is "fifty-six billion, three hundred fifty-five million, four hundred thirty-six thousand, four hundred forty-nine".