18375711156100 has 81 divisors (see below), whose sum is σ = 40012410546381. Its totient is φ = 7325095872000.

The previous prime is 18375711156059. The next prime is 18375711156191. The reversal of 18375711156100 is 165111757381.

It is a happy number.

The square root of 18375711156100 is 4286690.

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 1347609869956 + 17028101286144 = 1160866^2 + 4126512^2 .

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, 17189626366 + ... + 17189627434.

Almost surely, 2^{18375711156100} is an apocalyptic number.

18375711156100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18375711156100 is the 4286690-th square number.

It is an amenable number.

18375711156100 is an abundant number, since it is smaller than the sum of its proper divisors (21636699390281).

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

18375711156100 is an frugal number, since it uses more digits than its factorization.

18375711156100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2954 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 46.

The spelling of 18375711156100 in words is "eighteen trillion, three hundred seventy-five billion, seven hundred eleven million, one hundred fifty-six thousand, one hundred".