45808840900 has 81 divisors (see below), whose sum is σ = 105680451079. Its totient is φ = 17231983360.

The previous prime is 45808840879. The next prime is 45808840927. The reversal of 45808840900 is 904880854.

The square root of 45808840900 is 214030.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1071514756 + 44737326144 = 32734^2 + 211512^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 36384471 + ... + 36385729.

Almost surely, 2^45808840900 is an apocalyptic number.

45808840900 is the 214030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45808840900

45808840900 is an abundant number, since it is smaller than the sum of its proper divisors (59871610179).

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

45808840900 is a wasteful number, since it uses less digits than its factorization.

45808840900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 46.

The spelling of 45808840900 in words is "forty-five billion, eight hundred eight million, eight hundred forty thousand, nine hundred".