66738148712965 has 8 divisors (see below), whose sum is σ = 80300485638648. Its totient is φ = 53247380848320.

The previous prime is 66738148712903. The next prime is 66738148713011. The reversal of 66738148712965 is 56921784183766.

66738148712965 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 8169342²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 66738148712964 = 1^2 + 8169342^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 66738148712965 - 2²⁹ = 66737611842053 is a prime.

It is a Duffinian number.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 17892263206 + ... + 17892266935.

It is an arithmetic number, because the mean of its divisors is an integer number (10037560704831).

Almost surely, 2^{66738148712965} is an apocalyptic number.

It is an amenable number.

66738148712965 is a deficient number, since it is larger than the sum of its proper divisors (13562336925683).

66738148712965 is a wasteful number, since it uses less digits than its factorization.

66738148712965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35784530519.

The product of its digits is 731566080, while the sum is 73.

The spelling of 66738148712965 in words is "sixty-six trillion, seven hundred thirty-eight billion, one hundred forty-eight million, seven hundred twelve thousand, nine hundred sixty-five".