33138585216 has 640 divisors, whose sum is σ = 116320881600. Its totient is φ = 9256550400.

The previous prime is 33138585209. The next prime is 33138585217. The reversal of 33138585216 is 61258583133.

33138585216 is a `hidden beast` number, since 3 + 31 + 38 + 585 + 2 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (33138585217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 88843206 + ... + 88843578.

Almost surely, 2^33138585216 is an apocalyptic number.

33138585216 is a gapful number since it is divisible by the number (36) 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 33138585216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58160440800).

33138585216 is an abundant number, since it is smaller than the sum of its proper divisors (83182296384).

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

33138585216 is a wasteful number, since it uses less digits than its factorization.

33138585216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 449 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 33138585216 in words is "thirty-three billion, one hundred thirty-eight million, five hundred eighty-five thousand, two hundred sixteen".