18482525504100 has 216 divisors, whose sum is σ = 66218288077760. Its totient is φ = 4223953578240.

The previous prime is 18482525504087. The next prime is 18482525504117. The reversal of 18482525504100 is 140552528481.

18482525504100 is a `hidden beast` number, since 1 + 8 + 4 + 8 + 2 + 52 + 550 + 41 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43149786 + ... + 43576014.

Almost surely, 2^{18482525504100} is an apocalyptic number.

18482525504100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18482525504100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33109144038880).

18482525504100 is an abundant number, since it is smaller than the sum of its proper divisors (47735762573660).

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

18482525504100 is a wasteful number, since it uses less digits than its factorization.

18482525504100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433139 (or 433129 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 45.

The spelling of 18482525504100 in words is "eighteen trillion, four hundred eighty-two billion, five hundred twenty-five million, five hundred four thousand, one hundred".