166386884002816 has 33 divisors (see below), whose sum is σ = 332612105955829. Its totient is φ = 83193235615744.

The previous prime is 166386884002813. The next prime is 166386884002891. The reversal of 166386884002816 is 618200488683661.

The square root of 166386884002816 is 12899104.

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

It can be written as a sum of positive squares in only one way, i.e., 75773543040000 + 90613340962816 = 8704800^2 + 9519104^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (166386884002813) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 412569780 + ... + 412972876.

Almost surely, 2^{166386884002816} is an apocalyptic number.

166386884002816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

166386884002816 is the 12899104-th square number.

It is an amenable number.

166386884002816 is a deficient number, since it is larger than the sum of its proper divisors (166225221953013).

166386884002816 is an frugal number, since it uses more digits than its factorization.

166386884002816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806214 (or 403099 counting only the distinct ones).

The product of its (nonzero) digits is 127401984, while the sum is 67.

The spelling of 166386884002816 in words is "one hundred sixty-six trillion, three hundred eighty-six billion, eight hundred eighty-four million, two thousand, eight hundred sixteen".