67066235041 has 16 divisors (see below), whose sum is σ = 72679956048. Its totient is φ = 61518643200.

The previous prime is 67066235021. The next prime is 67066235051. The reversal of 67066235041 is 14053266076.

67066235041 = 183120² + 183121².

It can be written as a sum of positive squares in 8 ways, for example, as 9722748816 + 57343486225 = 98604^2 + 239465^2 .

It is a 4-Lehmer number, since φ(67066235041) divides (67066235041-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 67066235041 - 2⁵ = 67066235009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 67066234985 and 67066235003.

It is not an unprimeable number, because it can be changed into a prime (67066235021) 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 in 15 ways as a sum of consecutive naturals, for example, 1382721 + ... + 1430401.

It is an arithmetic number, because the mean of its divisors is an integer number (4542497253).

It is a Poulet number, since it divides 2^67066235040-1.

Almost surely, 2^67066235041 is an apocalyptic number.

67066235041 is the 183121-st centered square number.

It is an amenable number.

67066235041 is a deficient number, since it is larger than the sum of its proper divisors (5613721007).

67066235041 is a wasteful number, since it uses less digits than its factorization.

67066235041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48372.

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 67066235041 in words is "sixty-seven billion, sixty-six million, two hundred thirty-five thousand, forty-one".