33201361984 has 84 divisors (see below), whose sum is σ = 76700969280. Its totient is φ = 14217934080.

The previous prime is 33201361967. The next prime is 33201361993. The reversal of 33201361984 is 48916310233.

It is a happy number.

It is a super-2 number, since 2×33201361984² (a number of 22 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 4885629 + ... + 4892419.

Almost surely, 2^33201361984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33201361984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38350484640).

33201361984 is an abundant number, since it is smaller than the sum of its proper divisors (43499607296).

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

33201361984 is a wasteful number, since it uses less digits than its factorization.

33201361984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8376 (or 8359 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The spelling of 33201361984 in words is "thirty-three billion, two hundred one million, three hundred sixty-one thousand, nine hundred eighty-four".