8009144352 has 192 divisors, whose sum is σ = 25539494400. Its totient is φ = 2421699840.

The previous prime is 8009144327. The next prime is 8009144447. The reversal of 8009144352 is 2534419008.

8009144352 is a `hidden beast` number, since 80 + 0 + 91 + 443 + 52 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7859299 + ... + 7860317.

It is an arithmetic number, because the mean of its divisors is an integer number (133018200).

Almost surely, 2^8009144352 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 8009144352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12769747200).

8009144352 is an abundant number, since it is smaller than the sum of its proper divisors (17530350048).

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

8009144352 is a wasteful number, since it uses less digits than its factorization.

8009144352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 8009144352 is about 89493.8229823712. The cubic root of 8009144352 is about 2000.7617391732.

The spelling of 8009144352 in words is "eight billion, nine million, one hundred forty-four thousand, three hundred fifty-two".