33838227456 has 448 divisors, whose sum is σ = 107577331200. Its totient is φ = 9342812160.

The previous prime is 33838227361. The next prime is 33838227469. The reversal of 33838227456 is 65472283833.

It is a super-2 number, since 2×33838227456² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 33838227399 and 33838227408.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 170041245 + ... + 170041443.

Almost surely, 2^33838227456 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 33838227456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53788665600).

33838227456 is an abundant number, since it is smaller than the sum of its proper divisors (73739103744).

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

33838227456 is a wasteful number, since it uses less digits than its factorization.

33838227456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 269 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 51.

The spelling of 33838227456 in words is "thirty-three billion, eight hundred thirty-eight million, two hundred twenty-seven thousand, four hundred fifty-six".