66035344446225 has 144 divisors (see below), whose sum is σ = 151058414392704. Its totient is φ = 26773911936000.

The previous prime is 66035344446191. The next prime is 66035344446229. The reversal of 66035344446225 is 52264444353066.

66035344446225 is a `hidden beast` number, since 6 + 6 + 0 + 3 + 5 + 3 + 4 + 4 + 4 + 4 + 622 + 5 = 666.

66035344446225 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 66035344446225 - 2¹¹ = 66035344444177 is a prime.

It is a super-2 number, since 2×66035344446225² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66035344446229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45772162 + ... + 47192811.

It is an arithmetic number, because the mean of its divisors is an integer number (1049016766616).

Almost surely, 2^{66035344446225} is an apocalyptic number.

It is an amenable number.

66035344446225 is an abundant number, since it is smaller than the sum of its proper divisors (85023069946479).

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

66035344446225 is a wasteful number, since it uses less digits than its factorization.

66035344446225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92965048 (or 92965040 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 54.

The spelling of 66035344446225 in words is "sixty-six trillion, thirty-five billion, three hundred forty-four million, four hundred forty-six thousand, two hundred twenty-five".