12960456336 has 135 divisors (see below), whose sum is σ = 37176235369. Its totient is φ = 4214960256.

The previous prime is 12960456259. The next prime is 12960456343. The reversal of 12960456336 is 63365406921.

The square root of 12960456336 is 113844.

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

12960456336 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 0 + 4 + 5 + 633 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9343155600 + 3617300736 = 96660^2 + 60144^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12960456291 and 12960456300.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 72404695 + ... + 72404873.

Almost surely, 2^12960456336 is an apocalyptic number.

12960456336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12960456336 is the 113844-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12960456336

12960456336 is an abundant number, since it is smaller than the sum of its proper divisors (24215779033).

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

12960456336 is an equidigital number, since it uses as much as digits as its factorization.

12960456336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 12960456336 in words is "twelve billion, nine hundred sixty million, four hundred fifty-six thousand, three hundred thirty-six".