66446166164466 has 32 divisors (see below), whose sum is σ = 144974313273600. Its totient is φ = 20135082448080.

The previous prime is 66446166164429. The next prime is 66446166164471.

66446166164466 is nontrivially palindromic in base 10.

66446166164466 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 2×66446166164466² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 66446166164397 and 66446166164406.

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 15 ways as a sum of consecutive naturals, for example, 8562825 + ... + 14360163.

It is an arithmetic number, because the mean of its divisors is an integer number (4530447289800).

Almost surely, 2^{66446166164466} is an apocalyptic number.

66446166164466 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

66446166164466 is an abundant number, since it is smaller than the sum of its proper divisors (78528147109134).

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

66446166164466 is a wasteful number, since it uses less digits than its factorization.

66446166164466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5971014.

The product of its digits is 429981696, while the sum is 66.

The spelling of 66446166164466 in words is "sixty-six trillion, four hundred forty-six billion, one hundred sixty-six million, one hundred sixty-four thousand, four hundred sixty-six".