9565916416 has 108 divisors (see below), whose sum is σ = 22422663648. Its totient is φ = 4060793856.

The previous prime is 9565916401. The next prime is 9565916431. The reversal of 9565916416 is 6146195659.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9565916401) and next prime (9565916431).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1338645 + ... + 1345771.

It is an arithmetic number, because the mean of its divisors is an integer number (207617256).

Almost surely, 2^9565916416 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 9565916416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11211331824).

9565916416 is an abundant number, since it is smaller than the sum of its proper divisors (12856747232).

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

9565916416 is a wasteful number, since it uses less digits than its factorization.

9565916416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7264 (or 7243 counting only the distinct ones).

The product of its digits is 1749600, while the sum is 52.

The square root of 9565916416 is about 97805.5029944635. The cubic root of 9565916416 is about 2122.7989327221.

The spelling of 9565916416 in words is "nine billion, five hundred sixty-five million, nine hundred sixteen thousand, four hundred sixteen".