9214464064 has 105 divisors (see below), whose sum is σ = 20091569291. Its totient is φ = 4192930560.

The previous prime is 9214463959. The next prime is 9214464073. The reversal of 9214464064 is 4604644129.

The square root of 9214464064 is 95992.

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

It can be written as a sum of positive squares in 2 ways, for example, as 4568678464 + 4645785600 = 67592^2 + 68160^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 129781149 + ... + 129781219.

Almost surely, 2^9214464064 is an apocalyptic number.

9214464064 is the 95992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9214464064

9214464064 is an abundant number, since it is smaller than the sum of its proper divisors (10877105227).

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

9214464064 is an frugal number, since it uses more digits than its factorization.

9214464064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The cubic root of 9214464064 is about 2096.4766363540.

The spelling of 9214464064 in words is "nine billion, two hundred fourteen million, four hundred sixty-four thousand, sixty-four".