12536643746304 has 400 divisors, whose sum is σ = 38785551256320. Its totient is φ = 4043977850880.

The previous prime is 12536643746287. The next prime is 12536643746353. The reversal of 12536643746304 is 40364734663521.

It is a happy number.

12536643746304 is a `hidden beast` number, since 1 + 2 + 536 + 6 + 4 + 3 + 74 + 6 + 30 + 4 = 666.

It is a super-3 number, since 3×12536643746304³ (a number of 40 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 312388512 + ... + 312428640.

Almost surely, 2^{12536643746304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12536643746304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19392775628160).

12536643746304 is an abundant number, since it is smaller than the sum of its proper divisors (26248907510016).

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

12536643746304 is an frugal number, since it uses more digits than its factorization.

12536643746304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40205 (or 40165 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 54.

The spelling of 12536643746304 in words is "twelve trillion, five hundred thirty-six billion, six hundred forty-three million, seven hundred forty-six thousand, three hundred four".