18384648100 has 243 divisors, whose sum is σ = 50592091977. Its totient is φ = 5779388160.

The previous prime is 18384648067. The next prime is 18384648131. The reversal of 18384648100 is 184648381.

The square root of 18384648100 is 135590.

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

It can be written as a sum of positive squares in 13 ways, for example, as 17774755684 + 609892416 = 133322^2 + 24696^2 .

It is a super-2 number, since 2×18384648100² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 123386826 + ... + 123386974.

Almost surely, 2^18384648100 is an apocalyptic number.

18384648100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18384648100 is the 135590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18384648100

18384648100 is an abundant number, since it is smaller than the sum of its proper divisors (32207443877).

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

18384648100 is a wasteful number, since it uses less digits than its factorization.

18384648100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 43.

The spelling of 18384648100 in words is "eighteen billion, three hundred eighty-four million, six hundred forty-eight thousand, one hundred".