66414634225 has 12 divisors (see below), whose sum is σ = 82506389020. Its totient is φ = 53033486400.

The previous prime is 66414634151. The next prime is 66414634277. The reversal of 66414634225 is 52243641466.

It can be written as a sum of positive squares in 6 ways, for example, as 18920277601 + 47494356624 = 137551^2 + 217932^2 .

It is not a de Polignac number, because 66414634225 - 2¹⁵ = 66414601457 is a prime.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

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, 2441730 + ... + 2468779.

Almost surely, 2^66414634225 is an apocalyptic number.

It is an amenable number.

66414634225 is a deficient number, since it is larger than the sum of its proper divisors (16091754795).

66414634225 is a wasteful number, since it uses less digits than its factorization.

66414634225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4911060 (or 4911055 counting only the distinct ones).

The product of its digits is 829440, while the sum is 43.

The spelling of 66414634225 in words is "sixty-six billion, four hundred fourteen million, six hundred thirty-four thousand, two hundred twenty-five".