225930152448 has 1280 divisors, whose sum is σ = 930540441600. Its totient is φ = 52208271360.

The previous prime is 225930152447. The next prime is 225930152479. The reversal of 225930152448 is 844251039522.

225930152448 is a `hidden beast` number, since 2 + 2 + 59 + 3 + 0 + 152 + 448 = 666.

It is not an unprimeable number, because it can be changed into a prime (225930152447) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 401296615 + ... + 401297177.

It is an arithmetic number, because the mean of its divisors is an integer number (726984720).

Almost surely, 2^225930152448 is an apocalyptic number.

225930152448 is a gapful number since it is divisible by the number (28) 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 225930152448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465270220800).

225930152448 is an abundant number, since it is smaller than the sum of its proper divisors (704610289152).

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

225930152448 is a wasteful number, since it uses less digits than its factorization.

225930152448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 225930152448 in words is "two hundred twenty-five billion, nine hundred thirty million, one hundred fifty-two thousand, four hundred forty-eight".