2116563444 has 144 divisors (see below), whose sum is σ = 6000583680. Its totient is φ = 625121280.

The previous prime is 2116563437. The next prime is 2116563473. The reversal of 2116563444 is 4443656112.

2116563444 is a `hidden beast` number, since 2 + 1 + 16 + 5 + 634 + 4 + 4 = 666.

It is a super-2 number, since 2×2116563444² = 8959681624954282272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2116563399 and 2116563408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2220472 + ... + 2221424.

It is an arithmetic number, because the mean of its divisors is an integer number (41670720).

Almost surely, 2^2116563444 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 2116563444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3000291840).

2116563444 is an abundant number, since it is smaller than the sum of its proper divisors (3884020236).

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

2116563444 is a wasteful number, since it uses less digits than its factorization.

2116563444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1185 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 2116563444 is about 46006.1239836611. The cubic root of 2116563444 is about 1283.9371457281.

The spelling of 2116563444 in words is "two billion, one hundred sixteen million, five hundred sixty-three thousand, four hundred forty-four".