33396831504 has 135 divisors (see below), whose sum is σ = 95043580047. Its totient is φ = 10947336192.

The previous prime is 33396831499. The next prime is 33396831527. The reversal of 33396831504 is 40513869333.

The square root of 33396831504 is 182748.

It is a perfect power (a square), and thus also a powerful number.

33396831504 is a `hidden beast` number, since 33 + 39 + 6 + 83 + 1 + 504 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2279871504 + 31116960000 = 47748^2 + 176400^2 .

It is a super-2 number, since 2×33396831504² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33396831504.

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 26 ways as a sum of consecutive naturals, for example, 212718594 + ... + 212718750.

Almost surely, 2^33396831504 is an apocalyptic number.

33396831504 is the 182748-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33396831504

33396831504 is an abundant number, since it is smaller than the sum of its proper divisors (61646748543).

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

33396831504 is an equidigital number, since it uses as much as digits as its factorization.

33396831504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

It can be divided in two parts, 33396 and 831504, that added together give a square (864900 = 930²).

The spelling of 33396831504 in words is "thirty-three billion, three hundred ninety-six million, eight hundred thirty-one thousand, five hundred four".