8996935296384 has 1152 divisors, whose sum is σ = 33225000681600. Its totient is φ = 2409402433536.

The previous prime is 8996935296359. The next prime is 8996935296397. The reversal of 8996935296384 is 4836925396998.

8996935296384 is a `hidden beast` number, since 8 + 9 + 9 + 6 + 9 + 3 + 529 + 6 + 3 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 2808907327 + ... + 2808910529.

It is an arithmetic number, because the mean of its divisors is an integer number (28841146425).

Almost surely, 2^{8996935296384} is an apocalyptic number.

8996935296384 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8996935296384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16612500340800).

8996935296384 is an abundant number, since it is smaller than the sum of its proper divisors (24228065385216).

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

8996935296384 is a wasteful number, since it uses less digits than its factorization.

8996935296384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362 (or 3331 counting only the distinct ones).

The product of its digits is 5441955840, while the sum is 81.

The spelling of 8996935296384 in words is "eight trillion, nine hundred ninety-six billion, nine hundred thirty-five million, two hundred ninety-six thousand, three hundred eighty-four".