18449788900 has 135 divisors (see below), whose sum is σ = 43462590829. Its totient is φ = 6798019840.

The previous prime is 18449788843. The next prime is 18449788901. The reversal of 18449788900 is 988794481.

The square root of 18449788900 is 135830.

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

It can be written as a sum of positive squares in 7 ways, for example, as 2010446244 + 16439342656 = 44838^2 + 128216^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18449788901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 392548677 + ... + 392548723.

Almost surely, 2^18449788900 is an apocalyptic number.

18449788900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18449788900 is the 135830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18449788900

18449788900 is an abundant number, since it is smaller than the sum of its proper divisors (25012801929).

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

18449788900 is an frugal number, since it uses more digits than its factorization.

18449788900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 58.

The spelling of 18449788900 in words is "eighteen billion, four hundred forty-nine million, seven hundred eighty-eight thousand, nine hundred".