8816000148 has 144 divisors (see below), whose sum is σ = 24668227584. Its totient is φ = 2743372800.

The previous prime is 8816000147. The next prime is 8816000183. The reversal of 8816000148 is 8410006188.

8816000148 is a `hidden beast` number, since 8 + 8 + 1 + 600 + 0 + 1 + 48 = 666.

8816000148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (8816000147) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2096448 + ... + 2100648.

It is an arithmetic number, because the mean of its divisors is an integer number (171307136).

Almost surely, 2^8816000148 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 8816000148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12334113792).

8816000148 is an abundant number, since it is smaller than the sum of its proper divisors (15852227436).

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

8816000148 is a wasteful number, since it uses less digits than its factorization.

8816000148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4364 (or 4350 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 8816000148 is about 93893.5575425705. The cubic root of 8816000148 is about 2065.8107335301.

The spelling of 8816000148 in words is "eight billion, eight hundred sixteen million, one hundred forty-eight", and thus it is an aban number.