66844884312 has 192 divisors, whose sum is σ = 191393596800. Its totient is φ = 21615724800.

The previous prime is 66844884311. The next prime is 66844884313. The reversal of 66844884312 is 21348844866.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (66844884311) and next prime (66844884313).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66844884311) 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 47 ways as a sum of consecutive naturals, for example, 82422387 + ... + 82423197.

It is an arithmetic number, because the mean of its divisors is an integer number (996841650).

Almost surely, 2^66844884312 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 66844884312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95696798400).

66844884312 is an abundant number, since it is smaller than the sum of its proper divisors (124548712488).

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

66844884312 is a wasteful number, since it uses less digits than its factorization.

66844884312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1084 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The spelling of 66844884312 in words is "sixty-six billion, eight hundred forty-four million, eight hundred eighty-four thousand, three hundred twelve".