8116017444 has 18 divisors (see below), whose sum is σ = 20515488630. Its totient is φ = 2705339136.

The previous prime is 8116017443. The next prime is 8116017457. The reversal of 8116017444 is 4447106118.

8116017444 is a `hidden beast` number, since 8 + 1 + 1 + 601 + 7 + 4 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8043937344 + 72080100 = 89688^2 + 8490^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 225444929 = 8116017444 / (8 + 1 + 1 + 6 + 0 + 1 + 7 + 4 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 8116017399 and 8116017408.

It is not an unprimeable number, because it can be changed into a prime (8116017443) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 112722429 + ... + 112722500.

Almost surely, 2^8116017444 is an apocalyptic number.

It is an amenable number.

8116017444 is an abundant number, since it is smaller than the sum of its proper divisors (12399471186).

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

8116017444 is a wasteful number, since it uses less digits than its factorization.

8116017444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225444939 (or 225444934 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 8116017444 is about 90088.9418519276. The cubic root of 8116017444 is about 2009.6217569990.

The spelling of 8116017444 in words is "eight billion, one hundred sixteen million, seventeen thousand, four hundred forty-four".