33326416872 has 128 divisors (see below), whose sum is σ = 105855609600. Its totient is φ = 9516662784.

The previous prime is 33326416867. The next prime is 33326416919. The reversal of 33326416872 is 27861462333.

It is a super-2 number, since 2×33326416872² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3431928 + ... + 3441624.

It is an arithmetic number, because the mean of its divisors is an integer number (826996950).

Almost surely, 2^33326416872 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 33326416872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52927804800).

33326416872 is an abundant number, since it is smaller than the sum of its proper divisors (72529192728).

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

33326416872 is a wasteful number, since it uses less digits than its factorization.

33326416872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11992 (or 11982 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The spelling of 33326416872 in words is "thirty-three billion, three hundred twenty-six million, four hundred sixteen thousand, eight hundred seventy-two".