225114411522 has 144 divisors (see below), whose sum is σ = 612431547840. Its totient is φ = 53973279360.

The previous prime is 225114411493. The next prime is 225114411617.

225114411522 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 225114411522.

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 71 ways as a sum of consecutive naturals, for example, 727804 + ... + 989912.

It is an arithmetic number, because the mean of its divisors is an integer number (4252996860).

Almost surely, 2^225114411522 is an apocalyptic number.

225114411522 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 225114411522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306215773920).

225114411522 is an abundant number, since it is smaller than the sum of its proper divisors (387317136318).

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

225114411522 is a wasteful number, since it uses less digits than its factorization.

225114411522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262169 (or 262145 counting only the distinct ones).

The product of its digits is 6400, while the sum is 30.

It can be divided in two parts, 225114 and 411522, that added together give a palindrome (636636).

The spelling of 225114411522 in words is "two hundred twenty-five billion, one hundred fourteen million, four hundred eleven thousand, five hundred twenty-two".