10646320356217 has 64 divisors (see below), whose sum is σ = 14022603753984. Its totient is φ = 7843078471680.

The previous prime is 10646320356187. The next prime is 10646320356239. The reversal of 10646320356217 is 71265302364601.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10646320356217 is a prime.

It is a super-2 number, since 2×10646320356217² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10646320356317) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 413099542 + ... + 413125312.

It is an arithmetic number, because the mean of its divisors is an integer number (219103183656).

Almost surely, 2^{10646320356217} is an apocalyptic number.

10646320356217 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10646320356217 is a deficient number, since it is larger than the sum of its proper divisors (3376283397767).

10646320356217 is a wasteful number, since it uses less digits than its factorization.

10646320356217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28658.

The product of its (nonzero) digits is 1088640, while the sum is 46.

The spelling of 10646320356217 in words is "ten trillion, six hundred forty-six billion, three hundred twenty million, three hundred fifty-six thousand, two hundred seventeen".