225117645741 has 64 divisors (see below), whose sum is σ = 345831552000. Its totient is φ = 144639069120.

The previous prime is 225117645737. The next prime is 225117645743. The reversal of 225117645741 is 147546711522.

225117645741 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 1 + 76 + 4 + 574 + 1 = 666.

It is not a de Polignac number, because 225117645741 - 2² = 225117645737 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225117645743) 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, 27220155 + ... + 27228423.

It is an arithmetic number, because the mean of its divisors is an integer number (5403618000).

Almost surely, 2^225117645741 is an apocalyptic number.

It is an amenable number.

225117645741 is a deficient number, since it is larger than the sum of its proper divisors (120713906259).

225117645741 is a wasteful number, since it uses less digits than its factorization.

225117645741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8631 (or 8625 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The spelling of 225117645741 in words is "two hundred twenty-five billion, one hundred seventeen million, six hundred forty-five thousand, seven hundred forty-one".