18534660936100 has 81 divisors (see below), whose sum is σ = 40998451742563. Its totient is φ = 7273084661440.

The previous prime is 18534660936089. The next prime is 18534660936119. The reversal of 18534660936100 is 163906643581.

The square root of 18534660936100 is 4305190.

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 139620300964 + 18395040635136 = 373658^2 + 4288944^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2281746639 + ... + 2281754761.

Almost surely, 2^{18534660936100} is an apocalyptic number.

18534660936100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18534660936100 is the 4305190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18534660936100

18534660936100 is an abundant number, since it is smaller than the sum of its proper divisors (22463790806463).

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

18534660936100 is an frugal number, since it uses more digits than its factorization.

18534660936100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16366 (or 8183 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 52.

The spelling of 18534660936100 in words is "eighteen trillion, five hundred thirty-four billion, six hundred sixty million, nine hundred thirty-six thousand, one hundred".