66112100406612 has 240 divisors, whose sum is σ = 192748627708560. Its totient is φ = 19619734837248.

The previous prime is 66112100406593. The next prime is 66112100406629. The reversal of 66112100406612 is 21660400121166.

66112100406612 is a `hidden beast` number, since 6 + 6 + 11 + 21 + 0 + 0 + 4 + 0 + 6 + 612 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 25514762873796 + 40597337532816 = 5051214^2 + 6371604^2 .

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

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 114163858 + ... + 114741494.

It is an arithmetic number, because the mean of its divisors is an integer number (803119282119).

Almost surely, 2^{66112100406612} 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 66112100406612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96374313854280).

66112100406612 is an abundant number, since it is smaller than the sum of its proper divisors (126636527301948).

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

66112100406612 is a wasteful number, since it uses less digits than its factorization.

66112100406612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578632 (or 578621 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 66112100406612 its reverse (21660400121166), we get a palindrome (87772500527778).

The spelling of 66112100406612 in words is "sixty-six trillion, one hundred twelve billion, one hundred million, four hundred six thousand, six hundred twelve".