16863340416 has 256 divisors, whose sum is σ = 49468661760. Its totient is φ = 5058256896.

The previous prime is 16863340397. The next prime is 16863340421. The reversal of 16863340416 is 61404336861.

It is a super-3 number, since 3×16863340416³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42476730 + ... + 42477126.

It is an arithmetic number, because the mean of its divisors is an integer number (193236960).

Almost surely, 2^16863340416 is an apocalyptic number.

16863340416 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 16863340416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24734330880).

16863340416 is an abundant number, since it is smaller than the sum of its proper divisors (32605321344).

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

16863340416 is a wasteful number, since it uses less digits than its factorization.

16863340416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 16863340416 in words is "sixteen billion, eight hundred sixty-three million, three hundred forty thousand, four hundred sixteen".