45285116809 has 9 divisors (see below), whose sum is σ = 45525359079. Its totient is φ = 45046139040.

The previous prime is 45285116803. The next prime is 45285116881. The reversal of 45285116809 is 90861158254.

The square root of 45285116809 is 212803.

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

It can be written as a sum of positive squares in only one way, i.e., 34057595209 + 11227521600 = 184547^2 + 105960^2 .

It is not a de Polignac number, because 45285116809 - 2³ = 45285116801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45285116801) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 51285082 + ... + 51285964.

It is an arithmetic number, because the mean of its divisors is an integer number (5058373231).

Almost surely, 2^45285116809 is an apocalyptic number.

45285116809 is the 212803-rd square number.

45285116809 is the 106402-nd centered octagonal number.

It is an amenable number.

45285116809 is a deficient number, since it is larger than the sum of its proper divisors (240242270).

45285116809 is an frugal number, since it uses more digits than its factorization.

45285116809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 49.

Multiplying 45285116809 by its sum of digits (49), we get a square (2218970723641 = 1489621²).

The spelling of 45285116809 in words is "forty-five billion, two hundred eighty-five million, one hundred sixteen thousand, eight hundred nine".