66211075114812 has 144 divisors (see below), whose sum is σ = 172600600273920. Its totient is φ = 21390401096064.

The previous prime is 66211075114757. The next prime is 66211075114819. The reversal of 66211075114812 is 21841157011266.

It is a happy number.

66211075114812 is a `hidden beast` number, since 6 + 6 + 2 + 110 + 7 + 51 + 1 + 481 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66211075114819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1589795373 + ... + 1589837019.

It is an arithmetic number, because the mean of its divisors is an integer number (1198615279680).

Almost surely, 2^{66211075114812} 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 66211075114812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86300300136960).

66211075114812 is an abundant number, since it is smaller than the sum of its proper divisors (106389525159108).

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

66211075114812 is a wasteful number, since it uses less digits than its factorization.

66211075114812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51832 (or 51827 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 66211075114812 in words is "sixty-six trillion, two hundred eleven billion, seventy-five million, one hundred fourteen thousand, eight hundred twelve".