33440616500 has 48 divisors (see below), whose sum is σ = 73123312080. Its totient is φ = 13359945600.

The previous prime is 33440616463. The next prime is 33440616509. The reversal of 33440616500 is 561604433.

It can be written as a sum of positive squares in 8 ways, for example, as 16456271524 + 16984344976 = 128282^2 + 130324^2 .

It is a super-2 number, since 2×33440616500² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33440616509) 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, 374162 + ... + 454838.

It is an arithmetic number, because the mean of its divisors is an integer number (1523402335).

Almost surely, 2^33440616500 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 33440616500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36561656040).

33440616500 is an abundant number, since it is smaller than the sum of its proper divisors (39682695580).

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

33440616500 is a wasteful number, since it uses less digits than its factorization.

33440616500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81525 (or 81513 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The spelling of 33440616500 in words is "thirty-three billion, four hundred forty million, six hundred sixteen thousand, five hundred".