12646729138176 has 945 divisors, whose sum is σ = 44259898671079. Its totient is φ = 3613351182336.

The previous prime is 12646729138063. The next prime is 12646729138181. The reversal of 12646729138176 is 67183192764621.

The square root of 12646729138176 is 3556224.

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

12646729138176 is a `hidden beast` number, since 1 + 2 + 6 + 467 + 2 + 91 + 3 + 81 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (36578304) is a multiple of the sum of its prime divisors (12).

It is an unprimeable number.

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 62 ways as a sum of consecutive naturals, for example, 1806675591165 + ... + 1806675591171.

Almost surely, 2^{12646729138176} is an apocalyptic number.

12646729138176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12646729138176 is the 3556224-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12646729138176

12646729138176 is an abundant number, since it is smaller than the sum of its proper divisors (31613169532903).

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

12646729138176 is an frugal number, since it uses more digits than its factorization.

12646729138176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 12 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

12646729138176 divided by its product of digits (36578304) gives a square (345744 = 588²).

The spelling of 12646729138176 in words is "twelve trillion, six hundred forty-six billion, seven hundred twenty-nine million, one hundred thirty-eight thousand, one hundred seventy-six".