66230431167312 has 120 divisors (see below), whose sum is σ = 185843132290920. Its totient is φ = 22018466856960.

The previous prime is 66230431167301. The next prime is 66230431167343. The reversal of 66230431167312 is 21376113403266.

66230431167312 is a `hidden beast` number, since 6 + 6 + 23 + 0 + 431 + 167 + 31 + 2 = 666.

66230431167312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5663809775376 + 60566621391936 = 2379876^2 + 7782456^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 973356012 + ... + 973424052.

It is an arithmetic number, because the mean of its divisors is an integer number (1548692769091).

Almost surely, 2^{66230431167312} 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 66230431167312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92921566145460).

66230431167312 is an abundant number, since it is smaller than the sum of its proper divisors (119612701123608).

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

66230431167312 is a wasteful number, since it uses less digits than its factorization.

66230431167312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85821 (or 85812 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 66230431167312 in words is "sixty-six trillion, two hundred thirty billion, four hundred thirty-one million, one hundred sixty-seven thousand, three hundred twelve".