33216000426 has 128 divisors (see below), whose sum is σ = 89411420160. Its totient is φ = 8922928896.

The previous prime is 33216000407. The next prime is 33216000439. The reversal of 33216000426 is 62400061233.

33216000426 is a `hidden beast` number, since 3 + 32 + 1 + 600 + 0 + 4 + 26 = 666.

It is a super-2 number, since 2×33216000426² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 33216000426.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8371095 + ... + 8375061.

It is an arithmetic number, because the mean of its divisors is an integer number (698526720).

Almost surely, 2^33216000426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33216000426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44705710080).

33216000426 is an abundant number, since it is smaller than the sum of its proper divisors (56195419734).

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

33216000426 is a wasteful number, since it uses less digits than its factorization.

33216000426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5305 (or 5299 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 33216000426 its reverse (62400061233), we get a palindrome (95616061659).

The spelling of 33216000426 in words is "thirty-three billion, two hundred sixteen million, four hundred twenty-six", and thus it is an aban number.