225944772864 has 288 divisors, whose sum is σ = 647539200000. Its totient is φ = 69688000512.

The previous prime is 225944772863. The next prime is 225944772883. The reversal of 225944772864 is 468277449522.

225944772864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 225944772798 and 225944772807.

It is not an unprimeable number, because it can be changed into a prime (225944772863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 452794887 + ... + 452795385.

It is an arithmetic number, because the mean of its divisors is an integer number (2248400000).

Almost surely, 2^225944772864 is an apocalyptic number.

225944772864 is a gapful number since it is divisible by the number (24) 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 225944772864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323769600000).

225944772864 is an abundant number, since it is smaller than the sum of its proper divisors (421594427136).

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

225944772864 is a wasteful number, since it uses less digits than its factorization.

225944772864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1039 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 60.

The spelling of 225944772864 in words is "two hundred twenty-five billion, nine hundred forty-four million, seven hundred seventy-two thousand, eight hundred sixty-four".