85303548224064 has 315 divisors, whose sum is σ = 251041603809997. Its totient is φ = 27694380619776.

The previous prime is 85303548224057. The next prime is 85303548224173. The reversal of 85303548224064 is 46042284530358.

The square root of 85303548224064 is 9235992.

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

85303548224064 is a `hidden beast` number, since 8 + 5 + 3 + 0 + 354 + 8 + 224 + 0 + 64 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 4817673806400 + 80485874417664 = 2194920^2 + 8971392^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 85303548224064.

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 44 ways as a sum of consecutive naturals, for example, 622653636604 + ... + 622653636740.

Almost surely, 2^{85303548224064} is an apocalyptic number.

85303548224064 is the 9235992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85303548224064

85303548224064 is an abundant number, since it is smaller than the sum of its proper divisors (165738055585933).

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

85303548224064 is an frugal number, since it uses more digits than its factorization.

85303548224064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 54.

The spelling of 85303548224064 in words is "eighty-five trillion, three hundred three billion, five hundred forty-eight million, two hundred twenty-four thousand, sixty-four".