12689113536 has 224 divisors, whose sum is σ = 40796870400. Its totient is φ = 3835560960.

The previous prime is 12689113523. The next prime is 12689113537. The reversal of 12689113536 is 63531198621.

12689113536 is a `hidden beast` number, since 1 + 26 + 8 + 91 + 1 + 3 + 536 = 666.

It is a super-2 number, since 2×12689113536² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12689113491 and 12689113500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12689113537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12525766 + ... + 12526778.

Almost surely, 2^12689113536 is an apocalyptic number.

12689113536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12689113536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20398435200).

12689113536 is an abundant number, since it is smaller than the sum of its proper divisors (28107756864).

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

12689113536 is a wasteful number, since it uses less digits than its factorization.

12689113536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1688 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The spelling of 12689113536 in words is "twelve billion, six hundred eighty-nine million, one hundred thirteen thousand, five hundred thirty-six".