55945967841 has 45 divisors (see below), whose sum is σ = 85795549609. Its totient is φ = 36330854400.

The previous prime is 55945967797. The next prime is 55945967849. The reversal of 55945967841 is 14876954955.

The square root of 55945967841 is 236529.

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

55945967841 is a `hidden beast` number, since 559 + 4 + 5 + 9 + 6 + 78 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 513974241 + 55431993600 = 22671^2 + 235440^2 .

It is not a de Polignac number, because 55945967841 - 2²⁹ = 55409096929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55945967849) 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, 87278881 + ... + 87279521.

Almost surely, 2^55945967841 is an apocalyptic number.

55945967841 is the 236529-th square number.

55945967841 is the 118265-th centered octagonal number.

It is an amenable number.

55945967841 is a deficient number, since it is larger than the sum of its proper divisors (29849581768).

55945967841 is an frugal number, since it uses more digits than its factorization.

55945967841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 685 counting only the distinct ones).

The product of its digits is 54432000, while the sum is 63.

It can be divided in two parts, 559 and 45967841, that added together give a square (45968400 = 6780²).

The spelling of 55945967841 in words is "fifty-five billion, nine hundred forty-five million, nine hundred sixty-seven thousand, eight hundred forty-one".