8456445144 has 256 divisors, whose sum is σ = 28157184000. Its totient is φ = 2299207680.

The previous prime is 8456445097. The next prime is 8456445187. The reversal of 8456445144 is 4415446548.

8456445144 is a `hidden beast` number, since 8 + 4 + 564 + 45 + 1 + 44 = 666.

It is a super-2 number, since 2×8456445144² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8456445144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8380512 + ... + 8381520.

It is an arithmetic number, because the mean of its divisors is an integer number (109989000).

Almost surely, 2^8456445144 is an apocalyptic number.

8456445144 is a gapful number since it is divisible by the number (84) 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 8456445144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14078592000).

8456445144 is an abundant number, since it is smaller than the sum of its proper divisors (19700738856).

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

8456445144 is a wasteful number, since it uses less digits than its factorization.

8456445144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1285 counting only the distinct ones).

The product of its digits is 1228800, while the sum is 45.

The square root of 8456445144 is about 91958.9318337267. The cubic root of 8456445144 is about 2037.3357781200.

The spelling of 8456445144 in words is "eight billion, four hundred fifty-six million, four hundred forty-five thousand, one hundred forty-four".