33133647449472 has 256 divisors, whose sum is σ = 91285814833920. Its totient is φ = 10641686814720.

The previous prime is 33133647449447. The next prime is 33133647449491. The reversal of 33133647449472 is 27494474633133.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 798245743 + ... + 798287249.

It is an arithmetic number, because the mean of its divisors is an integer number (356585214195).

Almost surely, 2^{33133647449472} is an apocalyptic number.

33133647449472 is a gapful number since it is divisible by the number (32) 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 33133647449472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45642907416960).

33133647449472 is an abundant number, since it is smaller than the sum of its proper divisors (58152167384448).

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

33133647449472 is a wasteful number, since it uses less digits than its factorization.

33133647449472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42281 (or 42269 counting only the distinct ones).

The product of its digits is 109734912, while the sum is 60.

The spelling of 33133647449472 in words is "thirty-three trillion, one hundred thirty-three billion, six hundred forty-seven million, four hundred forty-nine thousand, four hundred seventy-two".