45534209372737 has 2 divisors, whose sum is σ = 45534209372738. Its totient is φ = 45534209372736.

The previous prime is 45534209372723. The next prime is 45534209372741. The reversal of 45534209372737 is 73727390243554.

45534209372737 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31631445665856 + 13902763706881 = 5624184^2 + 3728641^2 .

It is a cyclic number.

It is not a de Polignac number, because 45534209372737 - 2¹⁹ = 45534208848449 is a prime.

It is not a weakly prime, because it can be changed into another prime (45534209372237) 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, 22767104686368 + 22767104686369.

It is an arithmetic number, because the mean of its divisors is an integer number (22767104686369).

Almost surely, 2^{45534209372737} is an apocalyptic number.

It is an amenable number.

45534209372737 is a deficient number, since it is larger than the sum of its proper divisors (1).

45534209372737 is an equidigital number, since it uses as much as digits as its factorization.

45534209372737 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 133358400, while the sum is 61.

The spelling of 45534209372737 in words is "forty-five trillion, five hundred thirty-four billion, two hundred nine million, three hundred seventy-two thousand, seven hundred thirty-seven".