18198979200 has 288 divisors, whose sum is σ = 65389369500. Its totient is φ = 4819353600.

The previous prime is 18198979189. The next prime is 18198979219. The reversal of 18198979200 is 297989181.

It can be written as a sum of positive squares in 6 ways, for example, as 8577723456 + 9621255744 = 92616^2 + 98088^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4289080 + ... + 4293320.

Almost surely, 2^18198979200 is an apocalyptic number.

18198979200 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 18198979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32694684750).

18198979200 is an abundant number, since it is smaller than the sum of its proper divisors (47190390300).

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

18198979200 is a wasteful number, since it uses less digits than its factorization.

18198979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4420 (or 4400 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 54.

The spelling of 18198979200 in words is "eighteen billion, one hundred ninety-eight million, nine hundred seventy-nine thousand, two hundred".