225613641141600 has 288 divisors, whose sum is σ = 754965146950560. Its totient is φ = 58479783690240.

The previous prime is 225613641141599. The next prime is 225613641141607. The reversal of 225613641141600 is 6141146316522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225613641141607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88700356 + ... + 91208444.

It is an arithmetic number, because the mean of its divisors is an integer number (2621406760245).

Almost surely, 2^{225613641141600} is an apocalyptic number.

225613641141600 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 225613641141600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377482573475280).

225613641141600 is an abundant number, since it is smaller than the sum of its proper divisors (529351505808960).

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

225613641141600 is a wasteful number, since it uses less digits than its factorization.

225613641141600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509162 (or 2509149 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 225613641141600 in words is "two hundred twenty-five trillion, six hundred thirteen billion, six hundred forty-one million, one hundred forty-one thousand, six hundred".