12486321892801 has 27 divisors (see below), whose sum is σ = 12786177520137. Its totient is φ = 12193460741280.

The previous prime is 12486321892771. The next prime is 12486321892817. The reversal of 12486321892801 is 10829812368421.

The square root of 12486321892801 is 3533599.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5924117470401 + 6562204422400 = 2433951^2 + 2561680^2 .

It is a de Polignac number, because none of the positive numbers 2^k-12486321892801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12486321842801) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39389027895 + ... + 39389028211.

Almost surely, 2^{12486321892801} is an apocalyptic number.

12486321892801 is the 3533599-th square number.

12486321892801 is the 1766800-th centered octagonal number.

It is an amenable number.

12486321892801 is a deficient number, since it is larger than the sum of its proper divisors (299855627336).

12486321892801 is an frugal number, since it uses more digits than its factorization.

12486321892801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 55.

The spelling of 12486321892801 in words is "twelve trillion, four hundred eighty-six billion, three hundred twenty-one million, eight hundred ninety-two thousand, eight hundred one".