8456448000 has 1152 divisors, whose sum is σ = 38063450880. Its totient is φ = 1622016000.

The previous prime is 8456447959. The next prime is 8456448031. The reversal of 8456448000 is 8446548.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 8456448000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 650495994 + ... + 650496006.

It is an arithmetic number, because the mean of its divisors is an integer number (33041190).

Almost surely, 2^8456448000 is an apocalyptic number.

8456448000 is a gapful number since it is divisible by the number (80) 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 8456448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19031725440).

8456448000 is an abundant number, since it is smaller than the sum of its proper divisors (29607002880).

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

8456448000 is a wasteful number, since it uses less digits than its factorization.

8456448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 8456448000 is about 91958.9473623964. The cubic root of 8456448000 is about 2037.3360074768.

It can be divided in two parts, 84 and 56448000, that multiplied together give a cube (4741632000 = 1680³).

The spelling of 8456448000 in words is "eight billion, four hundred fifty-six million, four hundred forty-eight thousand".