2116565016167 has 8 divisors (see below), whose sum is σ = 2419546826112. Its totient is φ = 1813737051000.

The previous prime is 2116565016157. The next prime is 2116565016197. The reversal of 2116565016167 is 7616105656112.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2116565016167 - 2¹⁸ = 2116564754023 is a prime.

It is a super-3 number, since 3×2116565016167³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116565016107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38431709 + ... + 38486742.

It is an arithmetic number, because the mean of its divisors is an integer number (302443353264).

Almost surely, 2^{2116565016167} is an apocalyptic number.

2116565016167 is a deficient number, since it is larger than the sum of its proper divisors (302981809945).

2116565016167 is an equidigital number, since it uses as much as digits as its factorization.

2116565016167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76922389.

The product of its (nonzero) digits is 453600, while the sum is 47.

The spelling of 2116565016167 in words is "two trillion, one hundred sixteen billion, five hundred sixty-five million, sixteen thousand, one hundred sixty-seven".