33216896496000 has 2048 divisors, whose sum is σ = 138689501184000. Its totient is φ = 6857057894400.

The previous prime is 33216896495977. The next prime is 33216896496019. The reversal of 33216896496000 is 69469861233.

It is a super-2 number, since 2×33216896496000² (a number of 28 digits) contains 22 as substring.

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, 31970063481 + ... + 31970064519.

It is an arithmetic number, because the mean of its divisors is an integer number (67719483000).

Almost surely, 2^{33216896496000} is an apocalyptic number.

33216896496000 is a gapful number since it is divisible by the number (30) 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 33216896496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69344750592000).

33216896496000 is an abundant number, since it is smaller than the sum of its proper divisors (105472604688000).

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

33216896496000 is a wasteful number, since it uses less digits than its factorization.

33216896496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 57.

The spelling of 33216896496000 in words is "thirty-three trillion, two hundred sixteen billion, eight hundred ninety-six million, four hundred ninety-six thousand".