18580416100 has 81 divisors (see below), whose sum is σ = 41409600267. Its totient is φ = 7236425280.

The previous prime is 18580416089. The next prime is 18580416109. The reversal of 18580416100 is 161408581.

It is a happy number.

The square root of 18580416100 is 136310.

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 7499906404 + 11080509696 = 86602^2 + 105264^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18580416109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 58613142 + ... + 58613458.

Almost surely, 2^18580416100 is an apocalyptic number.

18580416100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18580416100 is the 136310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18580416100

18580416100 is an abundant number, since it is smaller than the sum of its proper divisors (22829184167).

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

18580416100 is an equidigital number, since it uses as much as digits as its factorization.

18580416100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 34.

The spelling of 18580416100 in words is "eighteen billion, five hundred eighty million, four hundred sixteen thousand, one hundred".