33328134048 has 96 divisors (see below), whose sum is σ = 96080644800. Its totient is φ = 10031605760.

The previous prime is 33328134043. The next prime is 33328134053. The reversal of 33328134048 is 84043182333.

It is an interprime number because it is at equal distance from previous prime (33328134043) and next prime (33328134053).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33328134048² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33328133997 and 33328134015.

It is not an unprimeable number, because it can be changed into a prime (33328134043) 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 15 ways as a sum of consecutive naturals, for example, 51436 + ... + 263252.

It is an arithmetic number, because the mean of its divisors is an integer number (1000840050).

Almost surely, 2^33328134048 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 33328134048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48040322400).

33328134048 is an abundant number, since it is smaller than the sum of its proper divisors (62752510752).

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

33328134048 is a wasteful number, since it uses less digits than its factorization.

33328134048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211990 (or 211982 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 33328134048 in words is "thirty-three billion, three hundred twenty-eight million, one hundred thirty-four thousand, forty-eight".