1845000000 has 336 divisors, whose sum is σ = 6771662352. Its totient is φ = 480000000.

The previous prime is 1844999983. The next prime is 1845000121. The reversal of 1845000000 is 5481.

It can be written as a sum of positive squares in 8 ways, for example, as 934891776 + 910108224 = 30576^2 + 30168^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 2050 × 450 × 2000.

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 44999980 + ... + 45000020.

It is an arithmetic number, because the mean of its divisors is an integer number (20153757).

Almost surely, 2^1845000000 is an apocalyptic number.

1845000000 is a gapful number since it is divisible by the number (10) 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 1845000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3385831176).

1845000000 is an abundant number, since it is smaller than the sum of its proper divisors (4926662352).

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

1845000000 is an frugal number, since it uses more digits than its factorization.

1845000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1845000000 is about 42953.4631898291. The cubic root of 1845000000 is about 1226.4940814745.

Adding to 1845000000 its reverse (5481), we get a palindrome (1845005481).

The spelling of 1845000000 in words is "one billion, eight hundred forty-five million", and thus it is an aban number.