8013032332900 has 405 divisors, whose sum is σ = 20866499231361. Its totient is φ = 2670759786240.

The previous prime is 8013032332871. The next prime is 8013032332909. The reversal of 8013032332900 is 92332303108.

It is a happy number.

The square root of 8013032332900 is 2830730.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1814964006436 + 6198068326464 = 1347206^2 + 2489592^2 .

It is not an unprimeable number, because it can be changed into a prime (8013032332909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 73514058046 + ... + 73514058154.

Almost surely, 2^{8013032332900} is an apocalyptic number.

8013032332900 is the 2830730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8013032332900

8013032332900 is an abundant number, since it is smaller than the sum of its proper divisors (12853466898461).

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

8013032332900 is an equidigital number, since it uses as much as digits as its factorization.

8013032332900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The spelling of 8013032332900 in words is "eight trillion, thirteen billion, thirty-two million, three hundred thirty-two thousand, nine hundred".