33809391616 has 672 divisors, whose sum is σ = 100405509120. Its totient is φ = 11147673600.

The previous prime is 33809391593. The next prime is 33809391619. The reversal of 33809391616 is 61619390833.

It is a super-2 number, since 2×33809391616² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 33809391616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33809391619) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1090625521 + ... + 1090625551.

It is an arithmetic number, because the mean of its divisors is an integer number (149412960).

Almost surely, 2^33809391616 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 33809391616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50202754560).

33809391616 is an abundant number, since it is smaller than the sum of its proper divisors (66596117504).

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

33809391616 is a wasteful number, since it uses less digits than its factorization.

33809391616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 49.

The spelling of 33809391616 in words is "thirty-three billion, eight hundred nine million, three hundred ninety-one thousand, six hundred sixteen".