18214503884500 has 384 divisors, whose sum is σ = 51775662661632. Its totient is φ = 5428013184000.

The previous prime is 18214503884491. The next prime is 18214503884579. The reversal of 18214503884500 is 548830541281.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3804991107 + ... + 3804995893.

It is an arithmetic number, because the mean of its divisors is an integer number (134832454848).

Almost surely, 2^{18214503884500} is an apocalyptic number.

18214503884500 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 18214503884500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25887831330816).

18214503884500 is an abundant number, since it is smaller than the sum of its proper divisors (33561158777132).

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

18214503884500 is a wasteful number, since it uses less digits than its factorization.

18214503884500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9144 (or 9132 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 49.

It can be divided in two parts, 1821 and 4503884500, that added together give a square (4503886321 = 67111²).

The spelling of 18214503884500 in words is "eighteen trillion, two hundred fourteen billion, five hundred three million, eight hundred eighty-four thousand, five hundred".