9417916416 has 144 divisors (see below), whose sum is σ = 25744539744. Its totient is φ = 3060793344.

The previous prime is 9417916399. The next prime is 9417916441. The reversal of 9417916416 is 6146197149.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16908010 + ... + 16908566.

It is an arithmetic number, because the mean of its divisors is an integer number (178781526).

Almost surely, 2^9417916416 is an apocalyptic number.

9417916416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9417916416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12872269872).

9417916416 is an abundant number, since it is smaller than the sum of its proper divisors (16326623328).

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

9417916416 is an frugal number, since it uses more digits than its factorization.

9417916416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 605 counting only the distinct ones).

The product of its digits is 326592, while the sum is 48.

The square root of 9417916416 is about 97045.9500236872. The cubic root of 9417916416 is about 2111.7942866671.

The spelling of 9417916416 in words is "nine billion, four hundred seventeen million, nine hundred sixteen thousand, four hundred sixteen".