9185361664 has 144 divisors (see below), whose sum is σ = 20026621440. Its totient is φ = 4188323840.

The previous prime is 9185361643. The next prime is 9185361697. The reversal of 9185361664 is 4661635819.

9185361664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 21311529 + ... + 21311959.

It is an arithmetic number, because the mean of its divisors is an integer number (139073760).

Almost surely, 2^9185361664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9185361664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10013310720).

9185361664 is an abundant number, since it is smaller than the sum of its proper divisors (10841259776).

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

9185361664 is a wasteful number, since it uses less digits than its factorization.

9185361664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 592 counting only the distinct ones).

The product of its digits is 933120, while the sum is 49.

The square root of 9185361664 is about 95840.2924870328. The cubic root of 9185361664 is about 2094.2671807670.

The spelling of 9185361664 in words is "nine billion, one hundred eighty-five million, three hundred sixty-one thousand, six hundred sixty-four".