45090045 has 162 divisors, whose sum is σ = 108211194. Its totient is φ = 17297280.

The previous prime is 45090043. The next prime is 45090053. The reversal of 45090045 is 54009054.

It can be written as a sum of positive squares in 3 ways, for example, as 213444 + 44876601 = 462^2 + 6699^2 .

It is not a de Polignac number, because 45090045 - 2¹ = 45090043 is a prime.

It is a super-2 number, since 2×45090045² = 4066224316204050, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45090043) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 3468459 + ... + 3468471.

Almost surely, 2^45090045 is an apocalyptic number.

45090045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45090045 is an abundant number, since it is smaller than the sum of its proper divisors (63121149).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45090045 is a wasteful number, since it uses less digits than its factorization.

45090045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 45090045 is about 6714.9121364319. The cubic root of 45090045 is about 355.9264171658.

Adding to 45090045 its reverse (54009054), we get a palindrome (99099099).

The spelling of 45090045 in words is "forty-five million, ninety thousand, forty-five".