225645141150 has 576 divisors, whose sum is σ = 750513392640. Its totient is φ = 49393843200.

The previous prime is 225645141101. The next prime is 225645141157. The reversal of 225645141150 is 51141546522.

225645141150 is a `hidden beast` number, since 2 + 2 + 5 + 645 + 1 + 4 + 1 + 1 + 5 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225645141157) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 117952594 + ... + 117954506.

It is an arithmetic number, because the mean of its divisors is an integer number (1302974640).

Almost surely, 2^225645141150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225645141150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375256696320).

225645141150 is an abundant number, since it is smaller than the sum of its proper divisors (524868251490).

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

225645141150 is a wasteful number, since it uses less digits than its factorization.

225645141150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 225645141150 its reverse (51141546522), we get a palindrome (276786687672).

The spelling of 225645141150 in words is "two hundred twenty-five billion, six hundred forty-five million, one hundred forty-one thousand, one hundred fifty".