12839150246976 has 189 divisors, whose sum is σ = 37057999618549. Its totient is φ = 4250048051712.

The previous prime is 12839150246947. The next prime is 12839150246977. The reversal of 12839150246976 is 67964205193821.

The square root of 12839150246976 is 3583176.

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

12839150246976 is a `hidden beast` number, since 1 + 2 + 8 + 39 + 1 + 502 + 4 + 6 + 97 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11679169550400 + 1159980696576 = 3417480^2 + 1077024^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12839150246977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14877346321 + ... + 14877347183.

It is a 1-persistent number, because it is pandigital, but 2⋅12839150246976 = 25678300493952 is not.

Almost surely, 2^{12839150246976} is an apocalyptic number.

12839150246976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12839150246976 is the 3583176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12839150246976

12839150246976 is an abundant number, since it is smaller than the sum of its proper divisors (24218849371573).

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

12839150246976 is an frugal number, since it uses more digits than its factorization.

12839150246976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 12839150246976 in words is "twelve trillion, eight hundred thirty-nine billion, one hundred fifty million, two hundred forty-six thousand, nine hundred seventy-six".