484737605361 has 15 divisors (see below), whose sum is σ = 724123561161. Its totient is φ = 323154226188.

The previous prime is 484737605333. The next prime is 484737605383. The reversal of 484737605361 is 163506737484.

It is a happy number.

The square root of 484737605361 is 696231.

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

484737605361 is a `hidden beast` number, since 4 + 8 + 47 + 3 + 7 + 60 + 536 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-484737605361 is a prime.

It is a super-2 number, since 2×484737605361² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 484737605298 and 484737605307.

It is not an unprimeable number, because it can be changed into a prime (484737605321) 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, 6227400 + ... + 6304758.

Almost surely, 2^484737605361 is an apocalyptic number.

484737605361 is the 696231-st square number.

484737605361 is the 348116-th centered octagonal number.

It is an amenable number.

484737605361 is a deficient number, since it is larger than the sum of its proper divisors (239385955800).

484737605361 is an frugal number, since it uses more digits than its factorization.

484737605361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154730 (or 77362 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 484737605361 in words is "four hundred eighty-four billion, seven hundred thirty-seven million, six hundred five thousand, three hundred sixty-one".