18324478104100 has 81 divisors (see below), whose sum is σ = 46256974713747. Its totient is φ = 6282575470080.

The previous prime is 18324478104067. The next prime is 18324478104157. The reversal of 18324478104100 is 140187442381.

The square root of 18324478104100 is 4280710.

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 4947786307044 + 13376691797056 = 2224362^2 + 3657416^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 299619124 + ... + 299680276.

Almost surely, 2^{18324478104100} is an apocalyptic number.

18324478104100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18324478104100 is the 4280710-th square number.

It is an amenable number.

18324478104100 is an abundant number, since it is smaller than the sum of its proper divisors (27932496609647).

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

18324478104100 is an frugal number, since it uses more digits than its factorization.

18324478104100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122334 (or 61167 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The spelling of 18324478104100 in words is "eighteen trillion, three hundred twenty-four billion, four hundred seventy-eight million, one hundred four thousand, one hundred".