225617173641 has 24 divisors (see below), whose sum is σ = 330793968960. Its totient is φ = 148152765600.

The previous prime is 225617173627. The next prime is 225617173657. The reversal of 225617173641 is 146371716522.

225617173641 is a `hidden beast` number, since 2 + 2 + 561 + 7 + 17 + 36 + 41 = 666.

225617173641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 225617173641 - 2¹⁰ = 225617172617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (225617173601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 511590 + ... + 844368.

It is an arithmetic number, because the mean of its divisors is an integer number (13783082040).

Almost surely, 2^225617173641 is an apocalyptic number.

It is an amenable number.

225617173641 is a deficient number, since it is larger than the sum of its proper divisors (105176795319).

225617173641 is a wasteful number, since it uses less digits than its factorization.

225617173641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333917 (or 333914 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The spelling of 225617173641 in words is "two hundred twenty-five billion, six hundred seventeen million, one hundred seventy-three thousand, six hundred forty-one".