33280123968 has 1120 divisors, whose sum is σ = 132180787200. Its totient is φ = 8035282944.

The previous prime is 33280123939. The next prime is 33280123969. The reversal of 33280123968 is 86932108233.

33280123968 is a `hidden beast` number, since 332 + 80 + 1 + 239 + 6 + 8 = 666.

It is a super-3 number, since 3×33280123968³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33280123969) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 421267353 + ... + 421267431.

It is an arithmetic number, because the mean of its divisors is an integer number (118018560).

Almost surely, 2^33280123968 is an apocalyptic number.

33280123968 is a gapful number since it is divisible by the number (38) 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 33280123968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66090393600).

33280123968 is an abundant number, since it is smaller than the sum of its proper divisors (98900663232).

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

33280123968 is a wasteful number, since it uses less digits than its factorization.

33280123968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 33280123968 in words is "thirty-three billion, two hundred eighty million, one hundred twenty-three thousand, nine hundred sixty-eight".