45800000000 has 180 divisors, whose sum is σ = 114887636490. Its totient is φ = 18240000000.

The previous prime is 45799999951. The next prime is 45800000009. The reversal of 45800000000 is 854.

It can be written as a sum of positive squares in 9 ways, for example, as 45467885824 + 332114176 = 213232^2 + 18224^2 .

It is not an unprimeable number, because it can be changed into a prime (45800000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 199999886 + ... + 200000114.

Almost surely, 2^45800000000 is an apocalyptic number.

45800000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45800000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57443818245).

45800000000 is an abundant number, since it is smaller than the sum of its proper divisors (69087636490).

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

45800000000 is an frugal number, since it uses more digits than its factorization.

45800000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 45800000000 its reverse (854), we get a palindrome (45800000854).

The spelling of 45800000000 in words is "forty-five billion, eight hundred million", and thus it is an aban number.