10646168676 has 96 divisors (see below), whose sum is σ = 30125469696. Its totient is φ = 2881872000.

The previous prime is 10646168657. The next prime is 10646168761. The reversal of 10646168676 is 67686164601.

10646168676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10646168676² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46870 + ... + 153261.

It is an arithmetic number, because the mean of its divisors is an integer number (313806976).

Almost surely, 2^10646168676 is an apocalyptic number.

It is an amenable number.

10646168676 is an abundant number, since it is smaller than the sum of its proper divisors (19479301020).

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

10646168676 is a wasteful number, since it uses less digits than its factorization.

10646168676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200193 (or 200191 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 10646168676 in words is "ten billion, six hundred forty-six million, one hundred sixty-eight thousand, six hundred seventy-six".