16814318976 has 384 divisors, whose sum is σ = 60147360000. Its totient is φ = 4390170624.

The previous prime is 16814318951. The next prime is 16814318993. The reversal of 16814318976 is 67981341861.

16814318976 is a `hidden beast` number, since 1 + 68 + 1 + 431 + 89 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11216275 + ... + 11217773.

It is an arithmetic number, because the mean of its divisors is an integer number (156633750).

Almost surely, 2^16814318976 is an apocalyptic number.

16814318976 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 16814318976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30073680000).

16814318976 is an abundant number, since it is smaller than the sum of its proper divisors (43333041024).

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

16814318976 is a wasteful number, since it uses less digits than its factorization.

16814318976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1631 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

It can be divided in two parts, 16814 and 318976, that added together give a triangular number (335790 = T₈₁₉).

The spelling of 16814318976 in words is "sixteen billion, eight hundred fourteen million, three hundred eighteen thousand, nine hundred seventy-six".