33908218848 has 144 divisors (see below), whose sum is σ = 112889833056. Its totient is φ = 9451745280.

The previous prime is 33908218801. The next prime is 33908218859. The reversal of 33908218848 is 84881280933.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×33908218848² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33908218794 and 33908218803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122461 + ... + 287772.

It is an arithmetic number, because the mean of its divisors is an integer number (783957174).

Almost surely, 2^33908218848 is an apocalyptic number.

It is an amenable number.

33908218848 is an abundant number, since it is smaller than the sum of its proper divisors (78981614208).

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

33908218848 is a wasteful number, since it uses less digits than its factorization.

33908218848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410297 (or 410286 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 33908218848 in words is "thirty-three billion, nine hundred eight million, two hundred eighteen thousand, eight hundred forty-eight".