12842446980496 has 135 divisors (see below), whose sum is σ = 29197170367617. Its totient is φ = 5456300828160.

The previous prime is 12842446980481. The next prime is 12842446980521. The reversal of 12842446980496 is 69408964424821.

The square root of 12842446980496 is 3583636.

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

It can be written as a sum of positive squares in only one way, i.e., 12014958387600 + 827488592896 = 3466260^2 + 909664^2 .

It is an unprimeable number.

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, 13144776360 + ... + 13144777336.

Almost surely, 2^{12842446980496} is an apocalyptic number.

12842446980496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12842446980496 is the 3583636-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12842446980496

12842446980496 is an abundant number, since it is smaller than the sum of its proper divisors (16354723387121).

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

12842446980496 is an frugal number, since it uses more digits than its factorization.

12842446980496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 191102976, while the sum is 67.

The spelling of 12842446980496 in words is "twelve trillion, eight hundred forty-two billion, four hundred forty-six million, nine hundred eighty thousand, four hundred ninety-six".