2016138728464 has 405 divisors, whose sum is σ = 5127127852023. Its totient is φ = 765523519488.

The previous prime is 2016138728441. The next prime is 2016138728503. The reversal of 2016138728464 is 4648278316102.

The square root of 2016138728464 is 1419908.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 13574114064 + 2002564614400 = 116508^2 + 1415120^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12841647874 + ... + 12841648030.

Almost surely, 2^{2016138728464} is an apocalyptic number.

2016138728464 is the 1419908-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2016138728464

2016138728464 is an abundant number, since it is smaller than the sum of its proper divisors (3110989123559).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2016138728464 is a wasteful number, since it uses less digits than its factorization.

2016138728464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 52.

The spelling of 2016138728464 in words is "two trillion, sixteen billion, one hundred thirty-eight million, seven hundred twenty-eight thousand, four hundred sixty-four".