18869554088100 has 243 divisors, whose sum is σ = 61267669739913. Its totient is φ = 4857394913280.

The previous prime is 18869554088057. The next prime is 18869554088117. The reversal of 18869554088100 is 188045596881.

The square root of 18869554088100 is 4343910.

It is a perfect power (a square), and thus also a powerful number.

18869554088100 is a `hidden beast` number, since 1 + 8 + 8 + 6 + 9 + 5 + 540 + 8 + 81 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 14318943585444 + 4550610502656 = 3784038^2 + 2133216^2 .

It is a super-2 number, since 2×18869554088100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3779199204 + ... + 3779204196.

Almost surely, 2^{18869554088100} is an apocalyptic number.

18869554088100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18869554088100 is the 4343910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18869554088100

18869554088100 is an abundant number, since it is smaller than the sum of its proper divisors (42398115651813).

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

18869554088100 is an equidigital number, since it uses as much as digits as its factorization.

18869554088100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10064 (or 5032 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 63.

The spelling of 18869554088100 in words is "eighteen trillion, eight hundred sixty-nine billion, five hundred fifty-four million, eighty-eight thousand, one hundred".