9505433916 has 168 divisors, whose sum is σ = 27619987584. Its totient is φ = 2836801440.

The previous prime is 9505433911. The next prime is 9505433923. The reversal of 9505433916 is 6193345059.

9505433916 is a `hidden beast` number, since 95 + 0 + 543 + 3 + 9 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9505433911) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2146881 + ... + 2151303.

It is an arithmetic number, because the mean of its divisors is an integer number (164404688).

Almost surely, 2^9505433916 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 9505433916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13809993792).

9505433916 is an abundant number, since it is smaller than the sum of its proper divisors (18114553668).

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

9505433916 is a wasteful number, since it uses less digits than its factorization.

9505433916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4523 (or 4506 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The square root of 9505433916 is about 97495.8148640238. The cubic root of 9505433916 is about 2118.3155240996.

It can be divided in two parts, 950543 and 3916, that added together give a palindrome (954459).

The spelling of 9505433916 in words is "nine billion, five hundred five million, four hundred thirty-three thousand, nine hundred sixteen".