16414306668 has 192 divisors, whose sum is σ = 44195760000. Its totient is φ = 5266280448.

The previous prime is 16414306639. The next prime is 16414306669. The reversal of 16414306668 is 86660341461.

It is a super-2 number, since 2×16414306668² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16414306669) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 104549646 + ... + 104549802.

It is an arithmetic number, because the mean of its divisors is an integer number (230186250).

Almost surely, 2^16414306668 is an apocalyptic number.

16414306668 is a gapful number since it is divisible by the number (18) 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 16414306668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22097880000).

16414306668 is an abundant number, since it is smaller than the sum of its proper divisors (27781453332).

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

16414306668 is a wasteful number, since it uses less digits than its factorization.

16414306668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 16414306668 in words is "sixteen billion, four hundred fourteen million, three hundred six thousand, six hundred sixty-eight".