8448474144 has 192 divisors, whose sum is σ = 25074524160. Its totient is φ = 2467584000.

The previous prime is 8448474137. The next prime is 8448474157. The reversal of 8448474144 is 4414748448.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 8448474093 and 8448474102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13388709 + ... + 13389339.

It is an arithmetic number, because the mean of its divisors is an integer number (130596480).

Almost surely, 2^8448474144 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 8448474144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12537262080).

8448474144 is an abundant number, since it is smaller than the sum of its proper divisors (16626050016).

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

8448474144 is a wasteful number, since it uses less digits than its factorization.

8448474144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1087 counting only the distinct ones).

The product of its digits is 1835008, while the sum is 48.

The square root of 8448474144 is about 91915.5816170468. The cubic root of 8448474144 is about 2036.6954496155.

The spelling of 8448474144 in words is "eight billion, four hundred forty-eight million, four hundred seventy-four thousand, one hundred forty-four".