2011616000001 has 24 divisors (see below), whose sum is σ = 2972256594944. Its totient is φ = 1310659146720.

The previous prime is 2011615999969. The next prime is 2011616000011. The reversal of 2011616000001 is 1000006161102.

2011616000001 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 61 + 600 + 0 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 2011616000001 - 2⁵ = 2011615999969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2011616000011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13057330 + ... + 13210491.

Almost surely, 2^{2011616000001} is an apocalyptic number.

It is an amenable number.

2011616000001 is a deficient number, since it is larger than the sum of its proper divisors (960640594943).

2011616000001 is a wasteful number, since it uses less digits than its factorization.

2011616000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26268021 (or 26268018 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 2011616000001 in words is "two trillion, eleven billion, six hundred sixteen million, one", and thus it is an aban number.