66848649012 has 288 divisors, whose sum is σ = 189219139200. Its totient is φ = 19813248000.

The previous prime is 66848648981. The next prime is 66848649013. The reversal of 66848649012 is 21094684866.

66848649012 is a `hidden beast` number, since 6 + 68 + 4 + 86 + 490 + 12 = 666.

It is a super-2 number, since 2×66848649012² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 66848649012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66848649013) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122209323 + ... + 122209869.

It is an arithmetic number, because the mean of its divisors is an integer number (657010900).

Almost surely, 2^66848649012 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 66848649012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94609569600).

66848649012 is an abundant number, since it is smaller than the sum of its proper divisors (122370490188).

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

66848649012 is a wasteful number, since it uses less digits than its factorization.

66848649012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 66848649012 in words is "sixty-six billion, eight hundred forty-eight million, six hundred forty-nine thousand, twelve".