10461082290066 has 24 divisors (see below), whose sum is σ = 22666442171724. Its totient is φ = 3486909910560.

The previous prime is 10461082290059. The next prime is 10461082290077. The reversal of 10461082290066 is 66009228016401.

10461082290066 is a `hidden beast` number, since 1 + 0 + 4 + 610 + 8 + 2 + 29 + 0 + 0 + 6 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10073228607225 + 387853682841 = 3173835^2 + 622779^2 .

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 11 ways as a sum of consecutive naturals, for example, 9243525 + ... + 10313336.

Almost surely, 2^{10461082290066} is an apocalyptic number.

10461082290066 is an abundant number, since it is smaller than the sum of its proper divisors (12205359881658).

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

10461082290066 is a wasteful number, since it uses less digits than its factorization.

10461082290066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19586586 (or 19586583 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 10461082290066 in words is "ten trillion, four hundred sixty-one billion, eighty-two million, two hundred ninety thousand, sixty-six".