2161516456165 has 48 divisors (see below), whose sum is σ = 3047579313408. Its totient is φ = 1466988512000.

The previous prime is 2161516456163. The next prime is 2161516456181. The reversal of 2161516456165 is 5616546151612.

It is not a de Polignac number, because 2161516456165 - 2¹ = 2161516456163 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2161516456163) 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 47 ways as a sum of consecutive naturals, for example, 1323841 + ... + 2464870.

It is an arithmetic number, because the mean of its divisors is an integer number (63491235696).

Almost surely, 2^{2161516456165} is an apocalyptic number.

It is an amenable number.

2161516456165 is a deficient number, since it is larger than the sum of its proper divisors (886062857243).

2161516456165 is a wasteful number, since it uses less digits than its factorization.

2161516456165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3788802 (or 3788791 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 49.

The spelling of 2161516456165 in words is "two trillion, one hundred sixty-one billion, five hundred sixteen million, four hundred fifty-six thousand, one hundred sixty-five".