225681104544 has 384 divisors, whose sum is σ = 725914732032. Its totient is φ = 60038184960.

The previous prime is 225681104543. The next prime is 225681104557. The reversal of 225681104544 is 445401186522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 225681104496 and 225681104505.

It is not an unprimeable number, because it can be changed into a prime (225681104543) 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 63 ways as a sum of consecutive naturals, for example, 54027384 + ... + 54031560.

It is an arithmetic number, because the mean of its divisors is an integer number (1890402948).

Almost surely, 2^225681104544 is an apocalyptic number.

225681104544 is a gapful number since it is divisible by the number (24) 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 225681104544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362957366016).

225681104544 is an abundant number, since it is smaller than the sum of its proper divisors (500233627488).

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

225681104544 is a wasteful number, since it uses less digits than its factorization.

225681104544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4328 (or 4320 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The spelling of 225681104544 in words is "two hundred twenty-five billion, six hundred eighty-one million, one hundred four thousand, five hundred forty-four".