33319345968 has 120 divisors (see below), whose sum is σ = 99932303328. Its totient is φ = 10336398336.

The previous prime is 33319345963. The next prime is 33319346009. The reversal of 33319345968 is 86954391333.

33319345968 is a `hidden beast` number, since 3 + 3 + 3 + 19 + 34 + 596 + 8 = 666.

It is a super-2 number, since 2×33319345968² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (33319345963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13405 + ... + 258492.

Almost surely, 2^33319345968 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 33319345968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49966151664).

33319345968 is an abundant number, since it is smaller than the sum of its proper divisors (66612957360).

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

33319345968 is a wasteful number, since it uses less digits than its factorization.

33319345968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271971 (or 271962 counting only the distinct ones).

The product of its digits is 6298560, while the sum is 54.

The spelling of 33319345968 in words is "thirty-three billion, three hundred nineteen million, three hundred forty-five thousand, nine hundred sixty-eight".