5485305937329 has 81 divisors (see below), whose sum is σ = 8886683739297. Its totient is φ = 3259266259968.

The previous prime is 5485305937297. The next prime is 5485305937379. The reversal of 5485305937329 is 9237395035845.

It is a happy number.

The square root of 5485305937329 is 2342073.

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

5485305937329 is a `hidden beast` number, since 5 + 4 + 8 + 5 + 3 + 0 + 593 + 7 + 32 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3461173738929 + 2024132198400 = 1860423^2 + 1422720^2 .

It is not a de Polignac number, because 5485305937329 - 2⁵ = 5485305937297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5485305937379) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2269467529 + ... + 2269469945.

Almost surely, 2^{5485305937329} is an apocalyptic number.

5485305937329 is the 2342073-rd square number.

5485305937329 is the 1171037-th centered octagonal number.

It is an amenable number.

5485305937329 is a deficient number, since it is larger than the sum of its proper divisors (3401377801968).

5485305937329 is an equidigital number, since it uses as much as digits as its factorization.

5485305937329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4912 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 122472000, while the sum is 63.

The spelling of 5485305937329 in words is "five trillion, four hundred eighty-five billion, three hundred five million, nine hundred thirty-seven thousand, three hundred twenty-nine".