225411026214000 has 320 divisors, whose sum is σ = 793255359836160. Its totient is φ = 54613095040000.

The previous prime is 225411026213999. The next prime is 225411026214071. The reversal of 225411026214000 is 412620114522.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111794785 + ... + 113793215.

It is an arithmetic number, because the mean of its divisors is an integer number (2478922999488).

Almost surely, 2^{225411026214000} is an apocalyptic number.

225411026214000 is a gapful number since it is divisible by the number (20) 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 225411026214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396627679918080).

225411026214000 is an abundant number, since it is smaller than the sum of its proper divisors (567844333622160).

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

225411026214000 is a wasteful number, since it uses less digits than its factorization.

225411026214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000177 (or 2000161 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 225411026214000 its reverse (412620114522), we get a palindrome (225823646328522).

The spelling of 225411026214000 in words is "two hundred twenty-five trillion, four hundred eleven billion, twenty-six million, two hundred fourteen thousand".