12613635258624 has 243 divisors, whose sum is σ = 38030017596753. Its totient is φ = 4020488626176.

The previous prime is 12613635258571. The next prime is 12613635258649. The reversal of 12613635258624 is 42685253631621.

The square root of 12613635258624 is 3551568.

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

12613635258624 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 3 + 6 + 3 + 5 + 2 + 5 + 8 + 624 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11375240198400 + 1238395060224 = 3372720^2 + 1112832^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3920929464 + ... + 3920932680.

Almost surely, 2^{12613635258624} is an apocalyptic number.

12613635258624 is the 3551568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12613635258624

12613635258624 is an abundant number, since it is smaller than the sum of its proper divisors (25416382338129).

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

12613635258624 is an frugal number, since it uses more digits than its factorization.

12613635258624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6502 (or 3245 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 12613635258624 in words is "twelve trillion, six hundred thirteen billion, six hundred thirty-five million, two hundred fifty-eight thousand, six hundred twenty-four".