166948390564201 has 9 divisors (see below), whose sum is σ = 167921236643671. Its totient is φ = 165981148579192.

The previous prime is 166948390564177. The next prime is 166948390564369. The reversal of 166948390564201 is 102465093849661.

The square root of 166948390564201 is 12920851.

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., 151865078456025 + 15083312108176 = 12323355^2 + 3883724^2 .

It is not a de Polignac number, because 166948390564201 - 2¹¹ = 166948390562153 is a prime.

It is a super-2 number, since 2×166948390564201² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (166948390564001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2235269880 + ... + 2235344566.

Almost surely, 2^{166948390564201} is an apocalyptic number.

166948390564201 is the 12920851-st square number.

166948390564201 is the 6460426-th centered octagonal number.

It is an amenable number.

166948390564201 is a deficient number, since it is larger than the sum of its proper divisors (972846079470).

166948390564201 is an frugal number, since it uses more digits than its factorization.

166948390564201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149720 (or 74860 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 64.

The spelling of 166948390564201 in words is "one hundred sixty-six trillion, nine hundred forty-eight billion, three hundred ninety million, five hundred sixty-four thousand, two hundred one".