6516416144 has 80 divisors (see below), whose sum is σ = 15014896128. Its totient is φ = 2681642496.

The previous prime is 6516416117. The next prime is 6516416167. The reversal of 6516416144 is 4416146156.

It is a junction number, because it is equal to n+sod(n) for n = 6516416098 and 6516416107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267314 + ... + 290670.

Almost surely, 2^6516416144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6516416144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7507448064).

6516416144 is an abundant number, since it is smaller than the sum of its proper divisors (8498479984).

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

6516416144 is a wasteful number, since it uses less digits than its factorization.

6516416144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23472 (or 23466 counting only the distinct ones).

The product of its digits is 69120, while the sum is 38.

The square root of 6516416144 is about 80724.3218862816. The cubic root of 6516416144 is about 1867.8253714759.

The spelling of 6516416144 in words is "six billion, five hundred sixteen million, four hundred sixteen thousand, one hundred forty-four".