225963120768 has 768 divisors, whose sum is σ = 791542456320. Its totient is φ = 55837900800.

The previous prime is 225963120767. The next prime is 225963120791. The reversal of 225963120768 is 867021369522.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 225963120768.

It is not an unprimeable number, because it can be changed into a prime (225963120767) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 736036071 + ... + 736036377.

It is an arithmetic number, because the mean of its divisors is an integer number (1030654240).

Almost surely, 2^225963120768 is an apocalyptic number.

225963120768 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 225963120768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395771228160).

225963120768 is an abundant number, since it is smaller than the sum of its proper divisors (565579335552).

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

225963120768 is a wasteful number, since it uses less digits than its factorization.

225963120768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 225963120768 in words is "two hundred twenty-five billion, nine hundred sixty-three million, one hundred twenty thousand, seven hundred sixty-eight".