66631477413666 has 32 divisors (see below), whose sum is σ = 147129308299008. Its totient is φ = 19948087431440.

The previous prime is 66631477413649. The next prime is 66631477413667.

66631477413666 is nontrivially palindromic in base 10.

66631477413666 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 66631477413597 and 66631477413606.

It is not an unprimeable number, because it can be changed into a prime (66631477413667) 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 15 ways as a sum of consecutive naturals, for example, 6081728496 + ... + 6081739451.

It is an arithmetic number, because the mean of its divisors is an integer number (4597790884344).

Almost surely, 2^{66631477413666} is an apocalyptic number.

66631477413666 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

66631477413666 is an abundant number, since it is smaller than the sum of its proper divisors (80497830885342).

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

66631477413666 is a wasteful number, since it uses less digits than its factorization.

66631477413666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12163468046.

The product of its digits is 329204736, while the sum is 66.

The spelling of 66631477413666 in words is "sixty-six trillion, six hundred thirty-one billion, four hundred seventy-seven million, four hundred thirteen thousand, six hundred sixty-six".