12553409764 has 81 divisors (see below), whose sum is σ = 26220061161. Its totient is φ = 5243565600.

The previous prime is 12553409761. The next prime is 12553409777. The reversal of 12553409764 is 46790435521.

It is a happy number.

The square root of 12553409764 is 112042.

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

It can be written as a sum of positive squares in only one way, i.e., 9049716900 + 3503692864 = 95130^2 + 59192^2 .

It is not an unprimeable number, because it can be changed into a prime (12553409761) 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 26 ways as a sum of consecutive naturals, for example, 83135089 + ... + 83135239.

Almost surely, 2^12553409764 is an apocalyptic number.

12553409764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12553409764 is the 112042-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12553409764

12553409764 is an abundant number, since it is smaller than the sum of its proper divisors (13666651397).

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

12553409764 is an equidigital number, since it uses as much as digits as its factorization.

12553409764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 46.

The spelling of 12553409764 in words is "twelve billion, five hundred fifty-three million, four hundred nine thousand, seven hundred sixty-four".