12672455184 has 225 divisors, whose sum is σ = 38027199133. Its totient is φ = 4074205824.

The previous prime is 12672455179. The next prime is 12672455207. The reversal of 12672455184 is 48155427621.

The square root of 12672455184 is 112572.

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

12672455184 is a `hidden beast` number, since 1 + 26 + 72 + 4 + 551 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9135536400 + 3536918784 = 95580^2 + 59472^2 .

It is a super-2 number, since 2×12672455184² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 214787347 + ... + 214787405.

Almost surely, 2^12672455184 is an apocalyptic number.

12672455184 is the 112572-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12672455184

12672455184 is an abundant number, since it is smaller than the sum of its proper divisors (25354743949).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12672455184 is an frugal number, since it uses more digits than its factorization.

12672455184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 117 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

It can be divided in two parts, 12672 and 455184, that added together give a square (467856 = 684²).

The spelling of 12672455184 in words is "twelve billion, six hundred seventy-two million, four hundred fifty-five thousand, one hundred eighty-four".