33306993216 has 336 divisors, whose sum is σ = 113068933120. Its totient is φ = 9173191680.

The previous prime is 33306993199. The next prime is 33306993227. The reversal of 33306993216 is 61239960333.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×33306993216² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54871185 + ... + 54871791.

Almost surely, 2^33306993216 is an apocalyptic number.

33306993216 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 33306993216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56534466560).

33306993216 is an abundant number, since it is smaller than the sum of its proper divisors (79761939904).

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

33306993216 is a wasteful number, since it uses less digits than its factorization.

33306993216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 45.

The spelling of 33306993216 in words is "thirty-three billion, three hundred six million, nine hundred ninety-three thousand, two hundred sixteen".