12689439826176 has 243 divisors, whose sum is σ = 37405477453071. Its totient is φ = 4137195451392.

The previous prime is 12689439825983. The next prime is 12689439826177. The reversal of 12689439826176 is 67162893498621.

The square root of 12689439826176 is 3562224.

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

12689439826176 is a `hidden beast` number, since 1 + 2 + 68 + 9 + 4 + 398 + 2 + 6 + 176 = 666.

It is a super-2 number, since 2×12689439826176² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (12689439826177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8036376555 + ... + 8036378133.

Almost surely, 2^{12689439826176} is an apocalyptic number.

12689439826176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12689439826176 is the 3562224-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12689439826176

12689439826176 is an abundant number, since it is smaller than the sum of its proper divisors (24716037626895).

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

12689439826176 is an frugal number, since it uses more digits than its factorization.

12689439826176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3274 (or 1631 counting only the distinct ones).

The product of its digits is 376233984, while the sum is 72.

The spelling of 12689439826176 in words is "twelve trillion, six hundred eighty-nine billion, four hundred thirty-nine million, eight hundred twenty-six thousand, one hundred seventy-six".