9431577648 has 90 divisors (see below), whose sum is σ = 27128552724. Its totient is φ = 3058826112.

The previous prime is 9431577643. The next prime is 9431577707. The reversal of 9431577648 is 8467751349.

9431577648 is a `hidden beast` number, since 9 + 4 + 3 + 1 + 577 + 64 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 9431577594 and 9431577603.

It is not an unprimeable number, because it can be changed into a prime (9431577643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 173215 + ... + 221057.

Almost surely, 2^9431577648 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 9431577648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13564276362).

9431577648 is an abundant number, since it is smaller than the sum of its proper divisors (17696975076).

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

9431577648 is a wasteful number, since it uses less digits than its factorization.

9431577648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47931 (or 47885 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 9431577648 is about 97116.3098969478. The cubic root of 9431577648 is about 2112.8148865625.

The spelling of 9431577648 in words is "nine billion, four hundred thirty-one million, five hundred seventy-seven thousand, six hundred forty-eight".