225913691160 has 192 divisors, whose sum is σ = 754815559680. Its totient is φ = 58570732800.

The previous prime is 225913691147. The next prime is 225913691161. The reversal of 225913691160 is 61196319522.

225913691160 is a `hidden beast` number, since 22 + 591 + 36 + 9 + 1 + 1 + 6 + 0 = 666.

225913691160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225913691161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2510709 + ... + 2599131.

It is an arithmetic number, because the mean of its divisors is an integer number (3931331040).

Almost surely, 2^225913691160 is an apocalyptic number.

225913691160 is a gapful number since it is divisible by the number (20) 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 225913691160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377407779840).

225913691160 is an abundant number, since it is smaller than the sum of its proper divisors (528901868520).

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

225913691160 is a wasteful number, since it uses less digits than its factorization.

225913691160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88638 (or 88631 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 225913691160 in words is "two hundred twenty-five billion, nine hundred thirteen million, six hundred ninety-one thousand, one hundred sixty".