18689624100 has 675 divisors, whose sum is σ = 73031036001. Its totient is φ = 4134110400.

The previous prime is 18689624087. The next prime is 18689624117. The reversal of 18689624100 is 142698681.

The square root of 18689624100 is 136710.

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

18689624100 is a `hidden beast` number, since 1 + 8 + 6 + 8 + 9 + 624 + 10 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6728264676 + 11961359424 = 82026^2 + 109368^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 602891085 + ... + 602891115.

Almost surely, 2^18689624100 is an apocalyptic number.

18689624100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18689624100 is the 136710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18689624100

18689624100 is an abundant number, since it is smaller than the sum of its proper divisors (54341411901).

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

18689624100 is an equidigital number, since it uses as much as digits as its factorization.

18689624100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 18689624100 in words is "eighteen billion, six hundred eighty-nine million, six hundred twenty-four thousand, one hundred".