33064748721792 has 192 divisors, whose sum is σ = 95916027621960. Its totient is φ = 10932655718400.

The previous prime is 33064748721779. The next prime is 33064748721817. The reversal of 33064748721792 is 29712784746033.

33064748721792 is a `hidden beast` number, since 3 + 3 + 0 + 6 + 47 + 487 + 21 + 7 + 92 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19117392054336 + 13947356667456 = 4372344^2 + 3734616^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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, 205248508 + ... + 205409540.

Almost surely, 2^{33064748721792} is an apocalyptic number.

33064748721792 is a gapful number since it is divisible by the number (32) 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 33064748721792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47958013810980).

33064748721792 is an abundant number, since it is smaller than the sum of its proper divisors (62851278900168).

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

33064748721792 is a wasteful number, since it uses less digits than its factorization.

33064748721792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162491 (or 162476 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 33064748721792 in words is "thirty-three trillion, sixty-four billion, seven hundred forty-eight million, seven hundred twenty-one thousand, seven hundred ninety-two".