66035040466225 has 12 divisors (see below), whose sum is σ = 81886761641116. Its totient is φ = 52825895945280.

The previous prime is 66035040466211. The next prime is 66035040466247. The reversal of 66035040466225 is 52266404053066.

66035040466225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 379802270961 + 65655238195264 = 616281^2 + 8102792^2 .

It is not a de Polignac number, because 66035040466225 - 2¹⁵ = 66035040433457 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 52780002 + ... + 54016651.

Almost surely, 2^{66035040466225} is an apocalyptic number.

It is an amenable number.

66035040466225 is a deficient number, since it is larger than the sum of its proper divisors (15851721174891).

66035040466225 is a wasteful number, since it uses less digits than its factorization.

66035040466225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106821396 (or 106821391 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 49.

The spelling of 66035040466225 in words is "sixty-six trillion, thirty-five billion, forty million, four hundred sixty-six thousand, two hundred twenty-five".