2225053413216 has 288 divisors, whose sum is σ = 6514967440800. Its totient is φ = 720044163072.

The previous prime is 2225053413199. The next prime is 2225053413217. The reversal of 2225053413216 is 6123143505222.

2225053413216 is a `hidden beast` number, since 2 + 2 + 2 + 505 + 3 + 4 + 132 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225053413217) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 643635360 + ... + 643638816.

It is an arithmetic number, because the mean of its divisors is an integer number (22621414725).

Almost surely, 2^{2225053413216} 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 2225053413216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3257483720400).

2225053413216 is an abundant number, since it is smaller than the sum of its proper divisors (4289914027584).

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

2225053413216 is a wasteful number, since it uses less digits than its factorization.

2225053413216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3958 (or 3947 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 2225053413216 its reverse (6123143505222), we get a palindrome (8348196918438).

The spelling of 2225053413216 in words is "two trillion, two hundred twenty-five billion, fifty-three million, four hundred thirteen thousand, two hundred sixteen".