12461775455376 has 675 divisors, whose sum is σ = 41323724450811. Its totient is φ = 3623432237568.

The previous prime is 12461775455291. The next prime is 12461775455407. The reversal of 12461775455376 is 67355457716421.

The square root of 12461775455376 is 3530124.

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

12461775455376 is a `hidden beast` number, since 1 + 2 + 4 + 6 + 1 + 7 + 7 + 5 + 4 + 553 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 577484485776 + 11884290969600 = 759924^2 + 3447360^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 31389862410 + ... + 31389862806.

Almost surely, 2^{12461775455376} is an apocalyptic number.

12461775455376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12461775455376 is the 3530124-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12461775455376

12461775455376 is an abundant number, since it is smaller than the sum of its proper divisors (28861948995435).

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

12461775455376 is an equidigital number, since it uses as much as digits as its factorization.

12461775455376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 434 counting only the distinct ones).

The product of its digits is 148176000, while the sum is 63.

The spelling of 12461775455376 in words is "twelve trillion, four hundred sixty-one billion, seven hundred seventy-five million, four hundred fifty-five thousand, three hundred seventy-six".