8004480848 has 90 divisors (see below), whose sum is σ = 19535531454. Its totient is φ = 3166555392.

The previous prime is 8004480823. The next prime is 8004480871. The reversal of 8004480848 is 8480844008.

It can be written as a sum of positive squares in 3 ways, for example, as 377602624 + 7626878224 = 19432^2 + 87332^2 .

It is a super-3 number, since 3×8004480848³ (a number of 31 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8004480799 and 8004480808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 102290 + ... + 162702.

Almost surely, 2^8004480848 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 8004480848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9767765727).

8004480848 is an abundant number, since it is smaller than the sum of its proper divisors (11531050606).

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

8004480848 is a wasteful number, since it uses less digits than its factorization.

8004480848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60461 (or 60435 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 44.

The square root of 8004480848 is about 89467.7642953036. The cubic root of 8004480848 is about 2000.3733343064.

The spelling of 8004480848 in words is "eight billion, four million, four hundred eighty thousand, eight hundred forty-eight".