33434141312 has 128 divisors (see below), whose sum is σ = 82371038400. Its totient is φ = 13289840640.

The previous prime is 33434141309. The next prime is 33434141333. The reversal of 33434141312 is 21314143433.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×33434141312² (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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299708 + ... + 395844.

Almost surely, 2^33434141312 is an apocalyptic number.

33434141312 is a gapful number since it is divisible by the number (32) 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 33434141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41185519200).

33434141312 is an abundant number, since it is smaller than the sum of its proper divisors (48936897088).

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

33434141312 is a wasteful number, since it uses less digits than its factorization.

33434141312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96194 (or 96182 counting only the distinct ones).

The product of its digits is 10368, while the sum is 29.

Adding to 33434141312 its reverse (21314143433), we get a palindrome (54748284745).

The spelling of 33434141312 in words is "thirty-three billion, four hundred thirty-four million, one hundred forty-one thousand, three hundred twelve".