18927211141125 has 144 divisors (see below), whose sum is σ = 40658028531120. Its totient is φ = 8441403264000.

The previous prime is 18927211141103. The next prime is 18927211141187. The reversal of 18927211141125 is 52114111272981.

18927211141125 is a `hidden beast` number, since 1 + 89 + 27 + 2 + 111 + 411 + 25 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6351775994529 + 12575435146596 = 2520273^2 + 3546186^2 .

It is not a de Polignac number, because 18927211141125 - 2⁷ = 18927211140997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1927080 + ... + 6447329.

It is an arithmetic number, because the mean of its divisors is an integer number (282347420355).

Almost surely, 2^{18927211141125} is an apocalyptic number.

18927211141125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

18927211141125 is an abundant number, since it is smaller than the sum of its proper divisors (21730817389995).

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

18927211141125 is a wasteful number, since it uses less digits than its factorization.

18927211141125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8374485 (or 8374465 counting only the distinct ones).

The product of its digits is 80640, while the sum is 45.

The spelling of 18927211141125 in words is "eighteen trillion, nine hundred twenty-seven billion, two hundred eleven million, one hundred forty-one thousand, one hundred twenty-five".