12735305646336 has 2187 divisors, whose sum is σ = 49976494192989. Its totient is φ = 3107985334272.

The previous prime is 12735305646319. The next prime is 12735305646359. The reversal of 12735305646336 is 63364650353721.

The square root of 12735305646336 is 3568656.

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

12735305646336 is a `hidden beast` number, since 1 + 2 + 73 + 5 + 3 + 0 + 564 + 6 + 3 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1883920953600 + 10851384692736 = 1372560^2 + 3294144^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 296169898731 + ... + 296169898773.

Almost surely, 2^{12735305646336} is an apocalyptic number.

12735305646336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12735305646336 is the 3568656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12735305646336

12735305646336 is an abundant number, since it is smaller than the sum of its proper divisors (37241188546653).

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

12735305646336 is a wasteful number, since it uses less digits than its factorization.

12735305646336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 54.

The spelling of 12735305646336 in words is "twelve trillion, seven hundred thirty-five billion, three hundred five million, six hundred forty-six thousand, three hundred thirty-six".