45248075835561 has 27 divisors (see below), whose sum is σ = 65453583160407. Its totient is φ = 30121485648480.

The previous prime is 45248075835539. The next prime is 45248075835593. The reversal of 45248075835561 is 16553857084254.

The square root of 45248075835561 is 6726669.

It is a perfect power (a square), and thus also a powerful number.

45248075835561 is a `hidden beast` number, since 4 + 5 + 2 + 4 + 8 + 0 + 75 + 8 + 3 + 556 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27214804001961 + 18033271833600 = 5216781^2 + 4246560^2 .

It is not a de Polignac number, because 45248075835561 - 2⁷ = 45248075835433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45248075835761) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19836945741 + ... + 19836948021.

Almost surely, 2^{45248075835561} is an apocalyptic number.

45248075835561 is the 6726669-th square number.

45248075835561 is the 3363335-th centered octagonal number.

It is an amenable number.

45248075835561 is a deficient number, since it is larger than the sum of its proper divisors (20205507324846).

45248075835561 is an frugal number, since it uses more digits than its factorization.

45248075835561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6534 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 161280000, while the sum is 63.

The spelling of 45248075835561 in words is "forty-five trillion, two hundred forty-eight billion, seventy-five million, eight hundred thirty-five thousand, five hundred sixty-one".