16434216656 has 80 divisors (see below), whose sum is σ = 37625091840. Its totient is φ = 6855452160.

The previous prime is 16434216653. The next prime is 16434216709. The reversal of 16434216656 is 65661243461.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16434216653) 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 15 ways as a sum of consecutive naturals, for example, 375065 + ... + 416583.

It is an arithmetic number, because the mean of its divisors is an integer number (470313648).

Almost surely, 2^16434216656 is an apocalyptic number.

16434216656 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 16434216656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18812545920).

16434216656 is an abundant number, since it is smaller than the sum of its proper divisors (21190875184).

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

16434216656 is a wasteful number, since it uses less digits than its factorization.

16434216656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41724 (or 41718 counting only the distinct ones).

The product of its digits is 622080, while the sum is 44.

The spelling of 16434216656 in words is "sixteen billion, four hundred thirty-four million, two hundred sixteen thousand, six hundred fifty-six".