18044909284900 has 243 divisors, whose sum is σ = 41252988239379. Its totient is φ = 6851061504000.

The previous prime is 18044909284873. The next prime is 18044909284907. The reversal of 18044909284900 is 948290944081.

The square root of 18044909284900 is 4247930.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2902164373476 + 15142744911424 = 1703574^2 + 3891368^2 .

It is a super-2 number, since 2×18044909284900² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18044909284907) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 93496939204 + ... + 93496939396.

Almost surely, 2^{18044909284900} is an apocalyptic number.

18044909284900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18044909284900 is the 4247930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18044909284900

18044909284900 is an abundant number, since it is smaller than the sum of its proper divisors (23208078954479).

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

18044909284900 is an equidigital number, since it uses as much as digits as its factorization.

18044909284900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 58.

The spelling of 18044909284900 in words is "eighteen trillion, forty-four billion, nine hundred nine million, two hundred eighty-four thousand, nine hundred".