225059586048 has 480 divisors, whose sum is σ = 737713616640. Its totient is φ = 68080435200.

The previous prime is 225059586013. The next prime is 225059586079. The reversal of 225059586048 is 840685950522.

225059586048 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 59 + 586 + 0 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 225059585985 and 225059586003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 394149603 + ... + 394150173.

It is an arithmetic number, because the mean of its divisors is an integer number (1536903368).

Almost surely, 2^225059586048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225059586048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368856808320).

225059586048 is an abundant number, since it is smaller than the sum of its proper divisors (512654030592).

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

225059586048 is an frugal number, since it uses more digits than its factorization.

225059586048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 225059586048 in words is "two hundred twenty-five billion, fifty-nine million, five hundred eighty-six thousand, forty-eight".