16876682377344 has 672 divisors, whose sum is σ = 52713072512100. Its totient is φ = 5379017269248.

The previous prime is 16876682377339. The next prime is 16876682377363. The reversal of 16876682377344 is 44377328667861.

16876682377344 is a `hidden beast` number, since 1 + 6 + 87 + 66 + 82 + 3 + 77 + 344 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8000525390400 + 8876156986944 = 2828520^2 + 2979288^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 8553816742 + ... + 8553818714.

Almost surely, 2^{16876682377344} 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 16876682377344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26356536256050).

16876682377344 is an abundant number, since it is smaller than the sum of its proper divisors (35836390134756).

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

16876682377344 is an equidigital number, since it uses as much as digits as its factorization.

16876682377344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172 (or 2116 counting only the distinct ones).

The product of its digits is 1365590016, while the sum is 72.

The spelling of 16876682377344 in words is "sixteen trillion, eight hundred seventy-six billion, six hundred eighty-two million, three hundred seventy-seven thousand, three hundred forty-four".