18198010000 has 225 divisors, whose sum is σ = 47164311183. Its totient is φ = 6798960000.

The previous prime is 18198009983. The next prime is 18198010001. The reversal of 18198010000 is 1089181.

The square root of 18198010000 is 134900.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1426723984 + 16771286016 = 37772^2 + 129504^2 .

It is not an unprimeable number, because it can be changed into a prime (18198010001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 256309965 + ... + 256310035.

Almost surely, 2^18198010000 is an apocalyptic number.

18198010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18198010000 is the 134900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18198010000

18198010000 is an abundant number, since it is smaller than the sum of its proper divisors (28966301183).

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

18198010000 is an frugal number, since it uses more digits than its factorization.

18198010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 28.

Multiplying 18198010000 by its product of nonzero digits (576), we get a square (10482053760000 = 3237600²).

Adding to 18198010000 its reverse (1089181), we get a palindrome (18199099181).

The spelling of 18198010000 in words is "eighteen billion, one hundred ninety-eight million, ten thousand".