8008004448 has 144 divisors (see below), whose sum is σ = 23207052960. Its totient is φ = 2618929152.

The previous prime is 8008004447. The next prime is 8008004449. The reversal of 8008004448 is 8444008008.

It is an interprime number because it is at equal distance from previous prime (8008004447) and next prime (8008004449).

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8008004447) 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, 3350838 + ... + 3353226.

It is an arithmetic number, because the mean of its divisors is an integer number (161160090).

Almost surely, 2^8008004448 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 8008004448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11603526480).

8008004448 is an abundant number, since it is smaller than the sum of its proper divisors (15199048512).

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

8008004448 is a wasteful number, since it uses less digits than its factorization.

8008004448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2621 (or 2610 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 8008004448 is about 89487.4541374376. The cubic root of 8008004448 is about 2000.6668149875. Note that the first 3 decimals are identical.

The spelling of 8008004448 in words is "eight billion, eight million, four thousand, four hundred forty-eight".