2218108523904 has 384 divisors, whose sum is σ = 8201119096800. Its totient is φ = 584995074048.

The previous prime is 2218108523861. The next prime is 2218108523909. The reversal of 2218108523904 is 4093258018122.

2218108523904 is a `hidden beast` number, since 2 + 2 + 18 + 108 + 523 + 9 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 2218108523904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2218108523909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1697694 + ... + 2705250.

Almost surely, 2^{2218108523904} is an apocalyptic number.

2218108523904 is a gapful number since it is divisible by the number (24) 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 2218108523904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4100559548400).

2218108523904 is an abundant number, since it is smaller than the sum of its proper divisors (5983010572896).

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

2218108523904 is a wasteful number, since it uses less digits than its factorization.

2218108523904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007607 (or 1007582 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 2218108523904 in words is "two trillion, two hundred eighteen billion, one hundred eight million, five hundred twenty-three thousand, nine hundred four".