18411225098112 has 512 divisors, whose sum is σ = 70692474470400. Its totient is φ = 4574215895040.

The previous prime is 18411225097963. The next prime is 18411225098113. The reversal of 18411225098112 is 21189052211481.

18411225098112 is a `hidden beast` number, since 1 + 8 + 4 + 1 + 1 + 22 + 509 + 8 + 112 = 666.

It is a super-2 number, since 2×18411225098112² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18411225098113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4616533 + ... + 7624619.

It is an arithmetic number, because the mean of its divisors is an integer number (138071239200).

Almost surely, 2^{18411225098112} is an apocalyptic number.

18411225098112 is a gapful number since it is divisible by the number (12) 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 18411225098112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35346237235200).

18411225098112 is an abundant number, since it is smaller than the sum of its proper divisors (52281249372288).

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

18411225098112 is a wasteful number, since it uses less digits than its factorization.

18411225098112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3008151 (or 3008133 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 45.

The spelling of 18411225098112 in words is "eighteen trillion, four hundred eleven billion, two hundred twenty-five million, ninety-eight thousand, one hundred twelve".