12467285649 has 81 divisors (see below), whose sum is σ = 22739402673. Its totient is φ = 6560072064.

The previous prime is 12467285641. The next prime is 12467285653. The reversal of 12467285649 is 94658276421.

The square root of 12467285649 is 111657.

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

12467285649 is a `hidden beast` number, since 1 + 2 + 4 + 6 + 72 + 8 + 564 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 116964225 + 12350321424 = 10815^2 + 111132^2 .

It is not a de Polignac number, because 12467285649 - 2³ = 12467285641 is a prime.

It is a super-2 number, since 2×12467285649² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

Its product of digits (5806080) is a multiple of the sum of its prime divisors (432).

It is a junction number, because it is equal to n+sod(n) for n = 12467285595 and 12467285604.

It is not an unprimeable number, because it can be changed into a prime (12467285641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 30482157 + ... + 30482565.

Almost surely, 2^12467285649 is an apocalyptic number.

12467285649 is the 111657-th square number.

12467285649 is the 55829-th centered octagonal number.

It is an amenable number.

12467285649 is a deficient number, since it is larger than the sum of its proper divisors (10272117024).

12467285649 is an equidigital number, since it uses as much as digits as its factorization.

12467285649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 432 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

It can be divided in two parts, 12467 and 285649, that added together give a square (298116 = 546²).

The spelling of 12467285649 in words is "twelve billion, four hundred sixty-seven million, two hundred eighty-five thousand, six hundred forty-nine".