12484936760409 has 9 divisors (see below), whose sum is σ = 18033812854239. Its totient is φ = 8323284106800.

The previous prime is 12484936760381. The next prime is 12484936760411. The reversal of 12484936760409 is 90406763948421.

It is a happy number.

The square root of 12484936760409 is 3533403.

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

12484936760409 is a `hidden beast` number, since 1 + 2 + 4 + 84 + 93 + 6 + 7 + 60 + 409 = 666.

12484936760409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12460525822809 + 24410937600 = 3529947^2 + 156240^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 12484936760409 - 2¹⁹ = 12484936236121 is a prime.

It is a super-2 number, since 2×12484936760409² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12484936760419) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10011309 + ... + 11189109.

Almost surely, 2^{12484936760409} is an apocalyptic number.

12484936760409 is the 3533403-rd square number.

12484936760409 is the 1766702-nd centered octagonal number.

It is an amenable number.

12484936760409 is a deficient number, since it is larger than the sum of its proper divisors (5548876093830).

12484936760409 is an frugal number, since it uses more digits than its factorization.

12484936760409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2355608 (or 1177804 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 12484936760409 in words is "twelve trillion, four hundred eighty-four billion, nine hundred thirty-six million, seven hundred sixty thousand, four hundred nine".