225770649670128 has 320 divisors, whose sum is σ = 668379975943680. Its totient is φ = 65214288691200.

The previous prime is 225770649670103. The next prime is 225770649670129. The reversal of 225770649670128 is 821076946077522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225770649670129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 505160523 + ... + 505607253.

It is an arithmetic number, because the mean of its divisors is an integer number (2088687424824).

Almost surely, 2^{225770649670128} 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 225770649670128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334189987971840).

225770649670128 is an abundant number, since it is smaller than the sum of its proper divisors (442609326273552).

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

225770649670128 is a wasteful number, since it uses less digits than its factorization.

225770649670128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447696 (or 447690 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 66.

The spelling of 225770649670128 in words is "two hundred twenty-five trillion, seven hundred seventy billion, six hundred forty-nine million, six hundred seventy thousand, one hundred twenty-eight".