33142466304 has 144 divisors (see below), whose sum is σ = 98172829440. Its totient is φ = 11028925440.

The previous prime is 33142466261. The next prime is 33142466311. The reversal of 33142466304 is 40366424133.

33142466304 is a `hidden beast` number, since 3 + 3 + 14 + 2 + 4 + 6 + 630 + 4 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 4468359 + ... + 4475769.

It is an arithmetic number, because the mean of its divisors is an integer number (681755760).

Almost surely, 2^33142466304 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 33142466304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49086414720).

33142466304 is an abundant number, since it is smaller than the sum of its proper divisors (65030363136).

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

33142466304 is an equidigital number, since it uses as much as digits as its factorization.

33142466304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8083 (or 8063 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 33142466304 in words is "thirty-three billion, one hundred forty-two million, four hundred sixty-six thousand, three hundred four".