2968043285601 has 27 divisors (see below), whose sum is σ = 4299054140563. Its totient is φ = 1973227353360.

The previous prime is 2968043285591. The next prime is 2968043285611. The reversal of 2968043285601 is 1065823408692.

The square root of 2968043285601 is 1722801.

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

2968043285601 is a `hidden beast` number, since 2 + 9 + 6 + 8 + 0 + 4 + 3 + 28 + 5 + 601 = 666.

It is an interprime number because it is at equal distance from previous prime (2968043285591) and next prime (2968043285611).

It can be written as a sum of positive squares in only one way, i.e., 260452019025 + 2707591266576 = 510345^2 + 1645476^2 .

It is not a de Polignac number, because 2968043285601 - 2⁵ = 2968043285569 is a prime.

It is a super-3 number, since 3×2968043285601³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2968043285611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2878799956 + ... + 2878800986.

Almost surely, 2^{2968043285601} is an apocalyptic number.

2968043285601 is the 1722801-st square number.

2968043285601 is the 861401-st centered octagonal number.

It is an amenable number.

2968043285601 is a deficient number, since it is larger than the sum of its proper divisors (1331010854962).

2968043285601 is an frugal number, since it uses more digits than its factorization.

2968043285601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3182 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 2968043285601 in words is "two trillion, nine hundred sixty-eight billion, forty-three million, two hundred eighty-five thousand, six hundred one".