12946817969280 has 320 divisors, whose sum is σ = 49791998302200. Its totient is φ = 3186908872704.

The previous prime is 12946817969257. The next prime is 12946817969291. The reversal of 12946817969280 is 8296971864921.

12946817969280 is a `hidden beast` number, since 1 + 2 + 9 + 468 + 1 + 79 + 6 + 92 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3671577170496 + 9275240798784 = 1916136^2 + 3045528^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 12946817969199 and 12946817969208.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8931685 + ... + 10279524.

Almost surely, 2^{12946817969280} is an apocalyptic number.

12946817969280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12946817969280 is an abundant number, since it is smaller than the sum of its proper divisors (36845180332920).

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

12946817969280 is a wasteful number, since it uses less digits than its factorization.

12946817969280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19211253 (or 19211232 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 72.

The spelling of 12946817969280 in words is "twelve trillion, nine hundred forty-six billion, eight hundred seventeen million, nine hundred sixty-nine thousand, two hundred eighty".