45181627237667 has 2 divisors, whose sum is σ = 45181627237668. Its totient is φ = 45181627237666.

The previous prime is 45181627237661. The next prime is 45181627237699. The reversal of 45181627237667 is 76673272618154.

It is a happy number.

45181627237667 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 45181627237667 - 2¹⁰ = 45181627236643 is a prime.

It is not a weakly prime, because it can be changed into another prime (45181627237661) 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 as a sum of consecutive naturals, namely, 22590813618833 + 22590813618834.

It is an arithmetic number, because the mean of its divisors is an integer number (22590813618834).

Almost surely, 2^{45181627237667} is an apocalyptic number.

45181627237667 is a deficient number, since it is larger than the sum of its proper divisors (1).

45181627237667 is an equidigital number, since it uses as much as digits as its factorization.

45181627237667 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 142248960, while the sum is 65.

The spelling of 45181627237667 in words is "forty-five trillion, one hundred eighty-one billion, six hundred twenty-seven million, two hundred thirty-seven thousand, six hundred sixty-seven".