33468132096 has 270 divisors, whose sum is σ = 116092648980. Its totient is φ = 9562033152.

The previous prime is 33468132077. The next prime is 33468132097. The reversal of 33468132096 is 69023186433.

It is a super-2 number, since 2×33468132096² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33468132097) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 999595 + ... + 1032533.

It is an arithmetic number, because the mean of its divisors is an integer number (429972774).

Almost surely, 2^33468132096 is an apocalyptic number.

33468132096 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 33468132096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58046324490).

33468132096 is an abundant number, since it is smaller than the sum of its proper divisors (82624516884).

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

33468132096 is an equidigital number, since it uses as much as digits as its factorization.

33468132096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32981 (or 32951 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 33468132096 in words is "thirty-three billion, four hundred sixty-eight million, one hundred thirty-two thousand, ninety-six".