33220680450048 has 2304 divisors, whose sum is σ = 130294971555840. Its totient is φ = 8235009441792.

The previous prime is 33220680450043. The next prime is 33220680450073. The reversal of 33220680450048 is 84005408602233.

33220680450048 is a `hidden beast` number, since 3 + 3 + 2 + 20 + 6 + 80 + 4 + 500 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×33220680450048² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33220680449985 and 33220680450012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33220680450043) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 261580160961 + ... + 261580161087.

It is an arithmetic number, because the mean of its divisors is an integer number (56551636960).

Almost surely, 2^{33220680450048} is an apocalyptic number.

33220680450048 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33220680450048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65147485777920).

33220680450048 is an abundant number, since it is smaller than the sum of its proper divisors (97074291105792).

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

33220680450048 is an equidigital number, since it uses as much as digits as its factorization.

33220680450048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 33220680450048 in words is "thirty-three trillion, two hundred twenty billion, six hundred eighty million, four hundred fifty thousand, forty-eight".