8033005396416 has 1792 divisors, whose sum is σ = 31274542301184. Its totient is φ = 1753602048000.

The previous prime is 8033005396397. The next prime is 8033005396457. The reversal of 8033005396416 is 6146935003308.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 131688613026 + ... + 131688613086.

It is an arithmetic number, because the mean of its divisors is an integer number (17452311552).

Almost surely, 2^{8033005396416} 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 8033005396416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15637271150592).

8033005396416 is an abundant number, since it is smaller than the sum of its proper divisors (23241536904768).

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

8033005396416 is a wasteful number, since it uses less digits than its factorization.

8033005396416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The spelling of 8033005396416 in words is "eight trillion, thirty-three billion, five million, three hundred ninety-six thousand, four hundred sixteen".