2116095493311 has 24 divisors (see below), whose sum is σ = 3070405928304. Its totient is φ = 1404364590720.

The previous prime is 2116095493153. The next prime is 2116095493319. The reversal of 2116095493311 is 1133945906112.

2116095493311 is a `hidden beast` number, since 2 + 1 + 1 + 60 + 9 + 549 + 33 + 11 = 666.

It is not a de Polignac number, because 2116095493311 - 2³⁰ = 2115021751487 is a prime.

It is a super-3 number, since 3×2116095493311³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116095493319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1171515 + ... + 2367411.

It is an arithmetic number, because the mean of its divisors is an integer number (127933580346).

Almost surely, 2^{2116095493311} is an apocalyptic number.

2116095493311 is a deficient number, since it is larger than the sum of its proper divisors (954310434993).

2116095493311 is a wasteful number, since it uses less digits than its factorization.

2116095493311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196791 (or 1196788 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 2116095493311 in words is "two trillion, one hundred sixteen billion, ninety-five million, four hundred ninety-three thousand, three hundred eleven".