18254035411872 has 192 divisors, whose sum is σ = 54322845696000. Its totient is φ = 5320607136768.

The previous prime is 18254035411867. The next prime is 18254035411951. The reversal of 18254035411872 is 27811453045281.

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 31 ways as a sum of consecutive naturals, for example, 463763329 + ... + 463802687.

It is an arithmetic number, because the mean of its divisors is an integer number (282931488000).

Almost surely, 2^{18254035411872} is an apocalyptic number.

18254035411872 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 18254035411872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27161422848000).

18254035411872 is an abundant number, since it is smaller than the sum of its proper divisors (36068810284128).

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

18254035411872 is a wasteful number, since it uses less digits than its factorization.

18254035411872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58963 (or 58955 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 51.

The spelling of 18254035411872 in words is "eighteen trillion, two hundred fifty-four billion, thirty-five million, four hundred eleven thousand, eight hundred seventy-two".