33838503505500 has 48 divisors (see below), whose sum is σ = 98537722212384. Its totient is φ = 9023600934400.

The previous prime is 33838503505493. The next prime is 33838503505511. The reversal of 33838503505500 is 550530583833.

It is a super-2 number, since 2×33838503505500² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 33838503505500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11279499669 + ... + 11279502668.

It is an arithmetic number, because the mean of its divisors is an integer number (2052869212758).

Almost surely, 2^{33838503505500} is an apocalyptic number.

33838503505500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33838503505500 is an abundant number, since it is smaller than the sum of its proper divisors (64699218706884).

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

33838503505500 is a wasteful number, since it uses less digits than its factorization.

33838503505500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22559002359 (or 22559002347 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 48.

The spelling of 33838503505500 in words is "thirty-three trillion, eight hundred thirty-eight billion, five hundred three million, five hundred five thousand, five hundred".