2160168002001 has 27 divisors (see below), whose sum is σ = 3207094974993. Its totient is φ = 1401084233280.

The previous prime is 2160168001991. The next prime is 2160168002029. The reversal of 2160168002001 is 1002008610612.

The square root of 2160168002001 is 1469751.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1832842130625 + 327325871376 = 1353825^2 + 572124^2 .

It is not a de Polignac number, because 2160168002001 - 2¹¹ = 2160167999953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2160168002071) 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 26 ways as a sum of consecutive naturals, for example, 163135741 + ... + 163148981.

Almost surely, 2^{2160168002001} is an apocalyptic number.

2160168002001 is the 1469751-st square number.

2160168002001 is the 734876-th centered octagonal number.

It is an amenable number.

2160168002001 is a deficient number, since it is larger than the sum of its proper divisors (1046926972992).

2160168002001 is an frugal number, since it uses more digits than its factorization.

2160168002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26562 (or 13281 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 2160168002001 in words is "two trillion, one hundred sixty billion, one hundred sixty-eight million, two thousand, one".