66344244345 has 80 divisors (see below), whose sum is σ = 123817702800. Its totient is φ = 33955117056.

The previous prime is 66344244293. The next prime is 66344244347. The reversal of 66344244345 is 54344244366.

66344244345 is a `hidden beast` number, since 6 + 63 + 4 + 4 + 244 + 345 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 11035082304 + 55309162041 = 105048^2 + 235179^2 .

It is not a de Polignac number, because 66344244345 - 2¹⁷ = 66344113273 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 66344244345.

It is not an unprimeable number, because it can be changed into a prime (66344244347) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1063581 + ... + 1124229.

It is an arithmetic number, because the mean of its divisors is an integer number (1547721285).

Almost surely, 2^66344244345 is an apocalyptic number.

It is an amenable number.

66344244345 is a deficient number, since it is larger than the sum of its proper divisors (57473458455).

66344244345 is a wasteful number, since it uses less digits than its factorization.

66344244345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60776 (or 60767 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 45.

The spelling of 66344244345 in words is "sixty-six billion, three hundred forty-four million, two hundred forty-four thousand, three hundred forty-five".