10646393304096 has 72 divisors (see below), whose sum is σ = 33028015600944. Its totient is φ = 3226179788160.

The previous prime is 10646393304049. The next prime is 10646393304121. The reversal of 10646393304096 is 69040339364601.

10646393304096 is a `hidden beast` number, since 1 + 0 + 6 + 463 + 93 + 3 + 0 + 4 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10646393304096² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1680298806 + ... + 1680305141.

It is an arithmetic number, because the mean of its divisors is an integer number (458722438902).

Almost surely, 2^{10646393304096} is an apocalyptic number.

10646393304096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10646393304096 is an abundant number, since it is smaller than the sum of its proper divisors (22381622296848).

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

10646393304096 is a wasteful number, since it uses less digits than its factorization.

10646393304096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3360603974 (or 3360603963 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 54.

The spelling of 10646393304096 in words is "ten trillion, six hundred forty-six billion, three hundred ninety-three million, three hundred four thousand, ninety-six".