3111840649681 has 27 divisors (see below), whose sum is σ = 3281578914523. Its totient is φ = 2950746661520.

The previous prime is 3111840649667. The next prime is 3111840649699. The reversal of 3111840649681 is 1869460481113.

It is a happy number.

The square root of 3111840649681 is 1764041.

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., 1631773753281 + 1480066896400 = 1277409^2 + 1216580^2 .

It is not a de Polignac number, because 3111840649681 - 2⁵ = 3111840649649 is a prime.

It is a super-2 number, since 2×3111840649681² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3111840644681) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3018273636 + ... + 3018274666.

Almost surely, 2^{3111840649681} is an apocalyptic number.

3111840649681 is the 1764041-st square number.

3111840649681 is the 882021-st centered octagonal number.

It is an amenable number.

3111840649681 is a deficient number, since it is larger than the sum of its proper divisors (169738264842).

3111840649681 is an frugal number, since it uses more digits than its factorization.

3111840649681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 52.

The spelling of 3111840649681 in words is "three trillion, one hundred eleven billion, eight hundred forty million, six hundred forty-nine thousand, six hundred eighty-one".