21344560160616 has 768 divisors, whose sum is σ = 76790948659200. Its totient is φ = 5430811276800.

The previous prime is 21344560160603. The next prime is 21344560160761. The reversal of 21344560160616 is 61606106544312.

21344560160616 is a `hidden beast` number, since 2 + 1 + 34 + 4 + 5 + 6 + 0 + 1 + 606 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1297770105 + ... + 1297786551.

It is an arithmetic number, because the mean of its divisors is an integer number (99988214400).

Almost surely, 2^{21344560160616} 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 21344560160616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38395474329600).

21344560160616 is an abundant number, since it is smaller than the sum of its proper divisors (55446388498584).

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

21344560160616 is a wasteful number, since it uses less digits than its factorization.

21344560160616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16715 (or 16698 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 21344560160616 in words is "twenty-one trillion, three hundred forty-four billion, five hundred sixty million, one hundred sixty thousand, six hundred sixteen".