55461663009 has 45 divisors (see below), whose sum is σ = 83898545731. Its totient is φ = 36512385120.

The previous prime is 55461662987. The next prime is 55461663013. The reversal of 55461663009 is 90036616455.

The square root of 55461663009 is 235503.

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

55461663009 is a `hidden beast` number, since 5 + 5 + 4 + 6 + 1 + 6 + 630 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32578445025 + 22883217984 = 180495^2 + 151272^2 .

It is not a de Polignac number, because 55461663009 - 2²¹ = 55459565857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55461663109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 290375104 + ... + 290375294.

Almost surely, 2^55461663009 is an apocalyptic number.

55461663009 is the 235503-rd square number.

55461663009 is the 117752-nd centered octagonal number.

It is an amenable number.

55461663009 is a deficient number, since it is larger than the sum of its proper divisors (28436882722).

55461663009 is an frugal number, since it uses more digits than its factorization.

55461663009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 55461663009 in words is "fifty-five billion, four hundred sixty-one million, six hundred sixty-three thousand, nine".