66738010801349 has 2 divisors, whose sum is σ = 66738010801350. Its totient is φ = 66738010801348.

The previous prime is 66738010801337. The next prime is 66738010801411. The reversal of 66738010801349 is 94310801083766.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63797248833124 + 2940761968225 = 7987318^2 + 1714865^2 .

It is a cyclic number.

It is not a de Polignac number, because 66738010801349 - 2¹⁶ = 66738010735813 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 66738010801294 and 66738010801303.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66738010801249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33369005400674 + 33369005400675.

It is an arithmetic number, because the mean of its divisors is an integer number (33369005400675).

Almost surely, 2^{66738010801349} is an apocalyptic number.

It is an amenable number.

66738010801349 is a deficient number, since it is larger than the sum of its proper divisors (1).

66738010801349 is an equidigital number, since it uses as much as digits as its factorization.

66738010801349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5225472, while the sum is 56.

The spelling of 66738010801349 in words is "sixty-six trillion, seven hundred thirty-eight billion, ten million, eight hundred one thousand, three hundred forty-nine".