225309350448 has 960 divisors, whose sum is σ = 831348790272. Its totient is φ = 55390003200.

The previous prime is 225309350447. The next prime is 225309350467. The reversal of 225309350448 is 844053903522.

225309350448 is a `hidden beast` number, since 2 + 2 + 53 + 0 + 93 + 504 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (225309350447) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2105694811 + ... + 2105694917.

Almost surely, 2^225309350448 is an apocalyptic number.

225309350448 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 225309350448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415674395136).

225309350448 is an abundant number, since it is smaller than the sum of its proper divisors (606039439824).

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

225309350448 is a wasteful number, since it uses less digits than its factorization.

225309350448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 225309350448 in words is "two hundred twenty-five billion, three hundred nine million, three hundred fifty thousand, four hundred forty-eight".