1033216172928 has 256 divisors, whose sum is σ = 3105670867200. Its totient is φ = 338075596800.

The previous prime is 1033216172909. The next prime is 1033216172953. The reversal of 1033216172928 is 8292716123301.

It is a happy number.

1033216172928 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 2 + 1 + 617 + 2 + 9 + 28 = 666.

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 31 ways as a sum of consecutive naturals, for example, 110252083 + ... + 110261453.

It is an arithmetic number, because the mean of its divisors is an integer number (12131526825).

Almost surely, 2^{1033216172928} is an apocalyptic number.

1033216172928 is a gapful number since it is divisible by the number (18) 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 1033216172928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552835433600).

1033216172928 is an abundant number, since it is smaller than the sum of its proper divisors (2072454694272).

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

1033216172928 is an equidigital number, since it uses as much as digits as its factorization.

1033216172928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9978 (or 9960 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1033216172928 in words is "one trillion, thirty-three billion, two hundred sixteen million, one hundred seventy-two thousand, nine hundred twenty-eight".