225664369056 has 144 divisors (see below), whose sum is σ = 757067770368. Its totient is φ = 62395660800.

The previous prime is 225664369039. The next prime is 225664369057. The reversal of 225664369056 is 650963466522.

225664369056 is a `hidden beast` number, since 22 + 56 + 6 + 436 + 90 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×225664369056² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 225664368993 and 225664369011.

It is not an unprimeable number, because it can be changed into a prime (225664369057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1742935 + ... + 1867926.

It is an arithmetic number, because the mean of its divisors is an integer number (5257415072).

Almost surely, 2^225664369056 is an apocalyptic number.

It is an amenable number.

225664369056 is an abundant number, since it is smaller than the sum of its proper divisors (531403401312).

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

225664369056 is a wasteful number, since it uses less digits than its factorization.

225664369056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3610915 (or 3610904 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 225664369056 in words is "two hundred twenty-five billion, six hundred sixty-four million, three hundred sixty-nine thousand, fifty-six".