16343414100 has 432 divisors, whose sum is σ = 58964226048. Its totient is φ = 3750727680.

The previous prime is 16343414099. The next prime is 16343414119. The reversal of 16343414100 is 141434361.

16343414100 is a `hidden beast` number, since 1 + 634 + 3 + 4 + 14 + 10 + 0 = 666.

16343414100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25259977 + ... + 25260623.

It is an arithmetic number, because the mean of its divisors is an integer number (136491264).

Almost surely, 2^16343414100 is an apocalyptic number.

16343414100 is a gapful number since it is divisible by the number (10) 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 16343414100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29482113024).

16343414100 is an abundant number, since it is smaller than the sum of its proper divisors (42620811948).

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

16343414100 is a wasteful number, since it uses less digits than its factorization.

16343414100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 16343414100 its reverse (141434361), we get a palindrome (16484848461).

The spelling of 16343414100 in words is "sixteen billion, three hundred forty-three million, four hundred fourteen thousand, one hundred".