225267740641 has 16 divisors (see below), whose sum is σ = 240352473600. Its totient is φ = 210792787200.

The previous prime is 225267740611. The next prime is 225267740647. The reversal of 225267740641 is 146047762522.

225267740641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 225267740641 - 2³⁵ = 190908002273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 225267740591 and 225267740600.

It is not an unprimeable number, because it can be changed into a prime (225267740647) 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 15 ways as a sum of consecutive naturals, for example, 897976 + ... + 1121113.

It is an arithmetic number, because the mean of its divisors is an integer number (15022029600).

Almost surely, 2^225267740641 is an apocalyptic number.

It is an amenable number.

225267740641 is a deficient number, since it is larger than the sum of its proper divisors (15084732959).

225267740641 is a wasteful number, since it uses less digits than its factorization.

225267740641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019240.

The product of its (nonzero) digits is 1128960, while the sum is 46.

The spelling of 225267740641 in words is "two hundred twenty-five billion, two hundred sixty-seven million, seven hundred forty thousand, six hundred forty-one".