45782179660009 has 15 divisors (see below), whose sum is σ = 49598466533987. Its totient is φ = 42259417996848.

The previous prime is 45782179660003. The next prime is 45782179660031. The reversal of 45782179660009 is 90006697128754.

The square root of 45782179660009 is 6766253.

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

45782179660009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 41917920104025 + 3864259555984 = 6474405^2 + 1965772^2 .

It is not a de Polignac number, because 45782179660009 - 2²³ = 45782171271401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45782179660003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1143476739 + ... + 1143516775.

Almost surely, 2^{45782179660009} is an apocalyptic number.

45782179660009 is the 6766253-rd square number.

45782179660009 is the 3383127-th centered octagonal number.

It is an amenable number.

45782179660009 is a deficient number, since it is larger than the sum of its proper divisors (3816286873978).

45782179660009 is an frugal number, since it uses more digits than its factorization.

45782179660009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80126 (or 40050 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 64.

The spelling of 45782179660009 in words is "forty-five trillion, seven hundred eighty-two billion, one hundred seventy-nine million, six hundred sixty thousand, nine".