45221298409 has 27 divisors (see below), whose sum is σ = 55912052343. Its totient is φ = 36460632768.

The previous prime is 45221298401. The next prime is 45221298413. The reversal of 45221298409 is 90489212254.

The square root of 45221298409 is 212653.

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., 35206893225 + 10014405184 = 187635^2 + 100072^2 .

It is not a de Polignac number, because 45221298409 - 2³ = 45221298401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45221298401) 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, 25304814 + ... + 25306600.

Almost surely, 2^45221298409 is an apocalyptic number.

45221298409 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

45221298409 is the 212653-rd square number.

45221298409 is the 106327-th centered octagonal number.

It is an amenable number.

45221298409 is a deficient number, since it is larger than the sum of its proper divisors (10690753934).

45221298409 is an frugal number, since it uses more digits than its factorization.

45221298409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3622 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 45221298409 in words is "forty-five billion, two hundred twenty-one million, two hundred ninety-eight thousand, four hundred nine".