108586320066576 has 405 divisors, whose sum is σ = 338205414246973. Its totient is φ = 32498546910720.

The previous prime is 108586320066571. The next prime is 108586320066607. The reversal of 108586320066576 is 675660023685801.

The square root of 108586320066576 is 10420476.

It is a perfect power (a square), and thus also a powerful number.

108586320066576 is a `hidden beast` number, since 1 + 0 + 8 + 58 + 6 + 3 + 2 + 0 + 0 + 6 + 6 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20850876508176 + 87735443558400 = 4566276^2 + 9366720^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (108586320066571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 122419751605 + ... + 122419752491.

Almost surely, 2^{108586320066576} is an apocalyptic number.

108586320066576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

108586320066576 is the 10420476-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108586320066576

108586320066576 is an abundant number, since it is smaller than the sum of its proper divisors (229619094180397).

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

108586320066576 is an frugal number, since it uses more digits than its factorization.

108586320066576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 108586320066576 in words is "one hundred eight trillion, five hundred eighty-six billion, three hundred twenty million, sixty-six thousand, five hundred seventy-six".