225132556440 has 192 divisors, whose sum is σ = 743143564800. Its totient is φ = 54521406720.

The previous prime is 225132556427. The next prime is 225132556447. The reversal of 225132556440 is 44655231522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225132556447) 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, 15078819 + ... + 15093741.

It is an arithmetic number, because the mean of its divisors is an integer number (3870539400).

Almost surely, 2^225132556440 is an apocalyptic number.

225132556440 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 225132556440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371571782400).

225132556440 is an abundant number, since it is smaller than the sum of its proper divisors (518011008360).

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

225132556440 is a wasteful number, since it uses less digits than its factorization.

225132556440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15998 (or 15983 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

Adding to 225132556440 its reverse (44655231522), we get a palindrome (269787787962).

The spelling of 225132556440 in words is "two hundred twenty-five billion, one hundred thirty-two million, five hundred fifty-six thousand, four hundred forty".