33289409664 has 192 divisors, whose sum is σ = 111809168640. Its totient is φ = 9308786688.

The previous prime is 33289409663. The next prime is 33289409677. The reversal of 33289409664 is 46690498233.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×33289409664² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33289409664.

It is not an unprimeable number, because it can be changed into a prime (33289409663) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 335092 + ... + 422924.

It is an arithmetic number, because the mean of its divisors is an integer number (582339420).

Almost surely, 2^33289409664 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 33289409664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55904584320).

33289409664 is an abundant number, since it is smaller than the sum of its proper divisors (78519758976).

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

33289409664 is a wasteful number, since it uses less digits than its factorization.

33289409664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87907 (or 87892 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 33289409664 in words is "thirty-three billion, two hundred eighty-nine million, four hundred nine thousand, six hundred sixty-four".