21967816416 has 768 divisors, whose sum is σ = 79365888000. Its totient is φ = 5267275776.

The previous prime is 21967816411. The next prime is 21967816417. The reversal of 21967816416 is 61461876912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21967816411) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 300928956 + ... + 300929028.

It is an arithmetic number, because the mean of its divisors is an integer number (103341000).

Almost surely, 2^21967816416 is an apocalyptic number.

21967816416 is a gapful number since it is divisible by the number (26) 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 21967816416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39682944000).

21967816416 is an abundant number, since it is smaller than the sum of its proper divisors (57398071584).

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

21967816416 is a wasteful number, since it uses less digits than its factorization.

21967816416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 154 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The spelling of 21967816416 in words is "twenty-one billion, nine hundred sixty-seven million, eight hundred sixteen thousand, four hundred sixteen".