8445054816 has 144 divisors (see below), whose sum is σ = 27169466688. Its totient is φ = 2559081600.

The previous prime is 8445054721. The next prime is 8445054817. The reversal of 8445054816 is 6184505448.

It is a happy number.

8445054816 is a `hidden beast` number, since 8 + 44 + 50 + 548 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8445054817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36171 + ... + 134901.

It is an arithmetic number, because the mean of its divisors is an integer number (188676852).

Almost surely, 2^8445054816 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 8445054816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13584733344).

8445054816 is an abundant number, since it is smaller than the sum of its proper divisors (18724411872).

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

8445054816 is a wasteful number, since it uses less digits than its factorization.

8445054816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98767 (or 98747 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 8445054816 is about 91896.9793627625. The cubic root of 8445054816 is about 2036.4206437987.

The spelling of 8445054816 in words is "eight billion, four hundred forty-five million, fifty-four thousand, eight hundred sixteen".