12689113363584 has 1152 divisors, whose sum is σ = 42640499260800. Its totient is φ = 3332295622656.

The previous prime is 12689113363519. The next prime is 12689113363607. The reversal of 12689113363584 is 48536331198621.

It is a happy number.

It is a super-2 number, since 2×12689113363584² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75982714669 + ... + 75982714835.

It is an arithmetic number, because the mean of its divisors is an integer number (37014322275).

Almost surely, 2^{12689113363584} is an apocalyptic number.

12689113363584 is a gapful number since it is divisible by the number (14) 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 12689113363584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21320249630400).

12689113363584 is an abundant number, since it is smaller than the sum of its proper divisors (29951385897216).

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

12689113363584 is a wasteful number, since it uses less digits than its factorization.

12689113363584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 442 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 60.

The spelling of 12689113363584 in words is "twelve trillion, six hundred eighty-nine billion, one hundred thirteen million, three hundred sixty-three thousand, five hundred eighty-four".