12523487633316 has 405 divisors, whose sum is σ = 36710591736819. Its totient is φ = 3720043324800.

The previous prime is 12523487633299. The next prime is 12523487633317. The reversal of 12523487633316 is 61333678432521.

The square root of 12523487633316 is 3538854.

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

12523487633316 is a `hidden beast` number, since 1 + 2 + 5 + 234 + 8 + 76 + 3 + 331 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35010152100 + 12488477481216 = 187110^2 + 3533904^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12523487633317) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 42742278466 + ... + 42742278758.

Almost surely, 2^{12523487633316} is an apocalyptic number.

12523487633316 is the 3538854-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12523487633316

12523487633316 is an abundant number, since it is smaller than the sum of its proper divisors (24187104103503).

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

12523487633316 is an equidigital number, since it uses as much as digits as its factorization.

12523487633316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 370 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 12523487633316 in words is "twelve trillion, five hundred twenty-three billion, four hundred eighty-seven million, six hundred thirty-three thousand, three hundred sixteen".