1516661868816 has 480 divisors, whose sum is σ = 4707032064000. Its totient is φ = 467394250752.

The previous prime is 1516661868781. The next prime is 1516661868863. The reversal of 1516661868816 is 6188681666151.

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 95 ways as a sum of consecutive naturals, for example, 3619717855 + ... + 3619718273.

It is an arithmetic number, because the mean of its divisors is an integer number (9806316800).

Almost surely, 2^{1516661868816} is an apocalyptic number.

1516661868816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1516661868816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2353516032000).

1516661868816 is an abundant number, since it is smaller than the sum of its proper divisors (3190370195184).

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

1516661868816 is a wasteful number, since it uses less digits than its factorization.

1516661868816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 887 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 63.

The spelling of 1516661868816 in words is "one trillion, five hundred sixteen billion, six hundred sixty-one million, eight hundred sixty-eight thousand, eight hundred sixteen".