2218013184096 has 108 divisors (see below), whose sum is σ = 6541472498652. Its totient is φ = 739293951744.

The previous prime is 2218013184091. The next prime is 2218013184109. The reversal of 2218013184096 is 6904813108122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2218013184096 is a `hidden beast` number, since 2 + 218 + 0 + 13 + 18 + 409 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2218013184091) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 131320420 + ... + 131337308.

Almost surely, 2^{2218013184096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2218013184096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3270736249326).

2218013184096 is an abundant number, since it is smaller than the sum of its proper divisors (4323459314556).

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

2218013184096 is an frugal number, since it uses more digits than its factorization.

2218013184096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33803 (or 16894 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 2218013184096 in words is "two trillion, two hundred eighteen billion, thirteen million, one hundred eighty-four thousand, ninety-six".