45579633110361 has 133 divisors (see below), whose sum is σ = 79764261019381. Its totient is φ = 26045504634492.

The previous prime is 45579633110329. The next prime is 45579633110383. The reversal of 45579633110361 is 16301133697554.

The square root of 45579633110361 is 6751269.

The cubic root of 45579633110361 is 35721.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

45579633110361 is a `hidden beast` number, since 4 + 5 + 57 + 96 + 33 + 110 + 361 = 666.

It is not a de Polignac number, because 45579633110361 - 2⁵ = 45579633110329 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 45579633110298 and 45579633110307.

It is not an unprimeable number, because it can be changed into a prime (45579633110321) by changing a digit.

It is a polite number, since it can be written in 132 ways as a sum of consecutive naturals, for example, 6511376158620 + ... + 6511376158626.

Almost surely, 2^{45579633110361} is an apocalyptic number.

45579633110361 is the 6751269-th square number.

45579633110361 is the 3375635-th centered octagonal number.

It is an amenable number.

45579633110361 is a deficient number, since it is larger than the sum of its proper divisors (34184627909020).

45579633110361 is an frugal number, since it uses more digits than its factorization.

45579633110361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 45579633110361 in words is "forty-five trillion, five hundred seventy-nine billion, six hundred thirty-three million, one hundred ten thousand, three hundred sixty-one".