66372881652001 has 2 divisors, whose sum is σ = 66372881652002. Its totient is φ = 66372881652000.

The previous prime is 66372881651971. The next prime is 66372881652071. The reversal of 66372881652001 is 10025618827366.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63681182042401 + 2691699609600 = 7980049^2 + 1640640^2 .

It is a cyclic number.

It is not a de Polignac number, because 66372881652001 - 2⁵ = 66372881651969 is a prime.

It is not a weakly prime, because it can be changed into another prime (66372881652071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33186440826000 + 33186440826001.

It is an arithmetic number, because the mean of its divisors is an integer number (33186440826001).

Almost surely, 2^{66372881652001} is an apocalyptic number.

It is an amenable number.

66372881652001 is a deficient number, since it is larger than the sum of its proper divisors (1).

66372881652001 is an equidigital number, since it uses as much as digits as its factorization.

66372881652001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 66372881652001 in words is "sixty-six trillion, three hundred seventy-two billion, eight hundred eighty-one million, six hundred fifty-two thousand, one".