12459247641 has 27 divisors (see below), whose sum is σ = 18653204479. Its totient is φ = 8013494832.

The previous prime is 12459247627. The next prime is 12459247679. The reversal of 12459247641 is 14674295421.

The square root of 12459247641 is 111621.

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

12459247641 is a `hidden beast` number, since 12 + 4 + 592 + 4 + 7 + 6 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6533327241 + 5925920400 = 80829^2 + 76980^2 .

It is not a de Polignac number, because 12459247641 - 2⁵ = 12459247609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12419247641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9710386 + ... + 9711668.

Almost surely, 2^12459247641 is an apocalyptic number.

12459247641 is the 111621-st square number.

12459247641 is the 55811-st centered octagonal number.

It is an amenable number.

12459247641 is a deficient number, since it is larger than the sum of its proper divisors (6193956838).

12459247641 is an frugal number, since it uses more digits than its factorization.

12459247641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630 (or 1315 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

It can be divided in two parts, 12459 and 247641, that added together give a square (260100 = 510²).

The spelling of 12459247641 in words is "twelve billion, four hundred fifty-nine million, two hundred forty-seven thousand, six hundred forty-one".