18845930616100 has 81 divisors (see below), whose sum is σ = 47573280527283. Its totient is φ = 6461357736960.

The previous prime is 18845930616089. The next prime is 18845930616101. The reversal of 18845930616100 is 161603954881.

The square root of 18845930616100 is 4341190.

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 6209156945124 + 12636773670976 = 2491818^2 + 3554824^2 .

It is not an unprimeable number, because it can be changed into a prime (18845930616101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 303852292 + ... + 303914308.

Almost surely, 2^{18845930616100} is an apocalyptic number.

18845930616100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18845930616100 is the 4341190-th square number.

It is an amenable number.

18845930616100 is an abundant number, since it is smaller than the sum of its proper divisors (28727349911183).

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

18845930616100 is an frugal number, since it uses more digits than its factorization.

18845930616100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124062 (or 62031 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 52.

The spelling of 18845930616100 in words is "eighteen trillion, eight hundred forty-five billion, nine hundred thirty million, six hundred sixteen thousand, one hundred".