433048228096 has 81 divisors (see below), whose sum is σ = 950385145143. Its totient is φ = 196787458560.

The previous prime is 433048228037. The next prime is 433048228121. The reversal of 433048228096 is 690822840334.

The square root of 433048228096 is 658064.

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

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 115817395 + ... + 115821133.

Almost surely, 2^433048228096 is an apocalyptic number.

433048228096 is the 658064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 433048228096

433048228096 is an abundant number, since it is smaller than the sum of its proper divisors (517336917047).

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

433048228096 is an frugal number, since it uses more digits than its factorization.

433048228096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7516 (or 3752 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 49.

Multiplying 433048228096 by its sum of digits (49), we get a square (21219363176704 = 4606448²).

The spelling of 433048228096 in words is "four hundred thirty-three billion, forty-eight million, two hundred twenty-eight thousand, ninety-six".