43430327448561 has 135 divisors (see below), whose sum is σ = 72768492211899. Its totient is φ = 25804782064512.

The previous prime is 43430327448457. The next prime is 43430327448577. The reversal of 43430327448561 is 16584472303434.

The square root of 43430327448561 is 6590169.

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

43430327448561 is a `hidden beast` number, since 4 + 3 + 4 + 3 + 0 + 3 + 2 + 74 + 4 + 8 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33812538671025 + 9617788777536 = 5814855^2 + 3101256^2 .

It is not a de Polignac number, because 43430327448561 - 2²¹ = 43430325351409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 43430327448498 and 43430327448507.

It is not an unprimeable number, because it can be changed into a prime (43430327448661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 19157620150 + ... + 19157622416.

Almost surely, 2^{43430327448561} is an apocalyptic number.

43430327448561 is the 6590169-th square number.

43430327448561 is the 3295085-th centered octagonal number.

It is an amenable number.

43430327448561 is a deficient number, since it is larger than the sum of its proper divisors (29338164763338).

43430327448561 is an frugal number, since it uses more digits than its factorization.

43430327448561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4618 (or 2306 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 54.

The spelling of 43430327448561 in words is "forty-three trillion, four hundred thirty billion, three hundred twenty-seven million, four hundred forty-eight thousand, five hundred sixty-one".