2016138728463 has 32 divisors (see below), whose sum is σ = 2720730684672. Its totient is φ = 1327915680000.

The previous prime is 2016138728441. The next prime is 2016138728503. The reversal of 2016138728463 is 3648278316102.

It is a happy number.

It is a Cunningham number, because it is equal to 1419908²-1.

It is not a de Polignac number, because 2016138728463 - 2¹⁰ = 2016138727439 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2016138728423) 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 31 ways as a sum of consecutive naturals, for example, 356394331 + ... + 356399987.

It is an arithmetic number, because the mean of its divisors is an integer number (85022833896).

Almost surely, 2^{2016138728463} is an apocalyptic number.

2016138728463 is a deficient number, since it is larger than the sum of its proper divisors (704591956209).

2016138728463 is a wasteful number, since it uses less digits than its factorization.

2016138728463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9655.

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 2016138728463 in words is "two trillion, sixteen billion, one hundred thirty-eight million, seven hundred twenty-eight thousand, four hundred sixty-three".