918900000 has 216 divisors, whose sum is σ = 3269392308. Its totient is φ = 244800000.

The previous prime is 918899987. The next prime is 918900001. The reversal of 918900000 is 9819.

It can be written as a sum of positive squares in 6 ways, for example, as 87385104 + 831514896 = 9348^2 + 28836^2 .

It is not an unprimeable number, because it can be changed into a prime (918900001) 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 35 ways as a sum of consecutive naturals, for example, 899490 + ... + 900510.

Almost surely, 2^918900000 is an apocalyptic number.

918900000 is a gapful number since it is divisible by the number (90) 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 918900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634696154).

918900000 is an abundant number, since it is smaller than the sum of its proper divisors (2350492308).

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

918900000 is a wasteful number, since it uses less digits than its factorization.

918900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 918900000 is about 30313.3633897659. The cubic root of 918900000 is about 972.2010456461.

Adding to 918900000 its reverse (9819), we get a palindrome (918909819).

The spelling of 918900000 in words is "nine hundred eighteen million, nine hundred thousand".