8033132016 has 320 divisors, whose sum is σ = 28620390400. Its totient is φ = 2100639744.

The previous prime is 8033131963. The next prime is 8033132017. The reversal of 8033132016 is 6102313308.

It is a happy number.

8033132016 is a `hidden beast` number, since 8 + 0 + 331 + 320 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8033132017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4991820 + ... + 4993428.

It is an arithmetic number, because the mean of its divisors is an integer number (89438720).

Almost surely, 2^8033132016 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 8033132016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14310195200).

8033132016 is an abundant number, since it is smaller than the sum of its proper divisors (20587258384).

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

8033132016 is a wasteful number, since it uses less digits than its factorization.

8033132016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 8033132016 is about 89627.7413304608. The cubic root of 8033132016 is about 2002.7571985148.

The spelling of 8033132016 in words is "eight billion, thirty-three million, one hundred thirty-two thousand, sixteen".