66445344 has 144 divisors (see below), whose sum is σ = 225493632. Its totient is φ = 18146304.

The previous prime is 66445289. The next prime is 66445361. The reversal of 66445344 is 44354466.

66445344 is a `hidden beast` number, since 6 + 644 + 5 + 3 + 4 + 4 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 66445299 and 66445308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45652 + ... + 47084.

It is an arithmetic number, because the mean of its divisors is an integer number (1565928).

Almost surely, 2^66445344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66445344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112746816).

66445344 is an abundant number, since it is smaller than the sum of its proper divisors (159048288).

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

66445344 is a wasteful number, since it uses less digits than its factorization.

66445344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1468 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 66445344 is about 8151.4013519149. The cubic root of 66445344 is about 405.0309258506.

The spelling of 66445344 in words is "sixty-six million, four hundred forty-five thousand, three hundred forty-four".