18751160328121 has 9 divisors (see below), whose sum is σ = 20304571844781. Its totient is φ = 17308711416672.

The previous prime is 18751160328101. The next prime is 18751160328151. The reversal of 18751160328121 is 12182306115781.

The square root of 18751160328121 is 4330261.

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 196948676521 + 18554211651600 = 443789^2 + 4307460^2 .

It is not a de Polignac number, because 18751160328121 - 2⁷ = 18751160327993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18751160328101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 56126845 + ... + 56459941.

It is an arithmetic number, because the mean of its divisors is an integer number (2256063538309).

Almost surely, 2^{18751160328121} is an apocalyptic number.

18751160328121 is the 4330261-st square number.

18751160328121 is the 2165131-st centered octagonal number.

It is an amenable number.

18751160328121 is a deficient number, since it is larger than the sum of its proper divisors (1553411516660).

18751160328121 is an frugal number, since it uses more digits than its factorization.

18751160328121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666220 (or 333110 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 46.

The spelling of 18751160328121 in words is "eighteen trillion, seven hundred fifty-one billion, one hundred sixty million, three hundred twenty-eight thousand, one hundred twenty-one".