66318005448 has 160 divisors (see below), whose sum is σ = 201476804760. Its totient is φ = 20298055680.

The previous prime is 66318005447. The next prime is 66318005449. The reversal of 66318005448 is 84450081366.

66318005448 is a `hidden beast` number, since 6 + 631 + 8 + 0 + 0 + 5 + 4 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (66318005447) and next prime (66318005449).

It can be written as a sum of positive squares in 4 ways, for example, as 64514984004 + 1803021444 = 253998^2 + 42462^2 .

It is not an unprimeable number, because it can be changed into a prime (66318005447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 378240 + ... + 525072.

Almost surely, 2^66318005448 is an apocalyptic number.

66318005448 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66318005448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100738402380).

66318005448 is an abundant number, since it is smaller than the sum of its proper divisors (135158799312).

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

66318005448 is a wasteful number, since it uses less digits than its factorization.

66318005448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146909 (or 146896 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 66318005448 in words is "sixty-six billion, three hundred eighteen million, five thousand, four hundred forty-eight".