33329344968 has 128 divisors (see below), whose sum is σ = 99689616000. Its totient is φ = 10278973440.

The previous prime is 33329344957. The next prime is 33329344987. The reversal of 33329344968 is 86944392333.

33329344968 is a `hidden beast` number, since 33 + 32 + 93 + 4 + 496 + 8 = 666.

It is a super-2 number, since 2×33329344968² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 139728 + ... + 293568.

It is an arithmetic number, because the mean of its divisors is an integer number (778825125).

Almost surely, 2^33329344968 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 33329344968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49844808000).

33329344968 is an abundant number, since it is smaller than the sum of its proper divisors (66360271032).

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

33329344968 is a wasteful number, since it uses less digits than its factorization.

33329344968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153932 (or 153922 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 54.

The spelling of 33329344968 in words is "thirty-three billion, three hundred twenty-nine million, three hundred forty-four thousand, nine hundred sixty-eight".