9269116416 has 480 divisors, whose sum is σ = 32887895040. Its totient is φ = 2550030336.

The previous prime is 9269116399. The next prime is 9269116429. The reversal of 9269116416 is 6146119629.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25256265 + ... + 25256631.

It is an arithmetic number, because the mean of its divisors is an integer number (68516448).

Almost surely, 2^9269116416 is an apocalyptic number.

9269116416 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 9269116416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16443947520).

9269116416 is an abundant number, since it is smaller than the sum of its proper divisors (23618778624).

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

9269116416 is an equidigital number, since it uses as much as digits as its factorization.

9269116416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 408 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 9269116416 is about 96276.2505294011. The cubic root of 9269116416 is about 2100.6133065802.

The spelling of 9269116416 in words is "nine billion, two hundred sixty-nine million, one hundred sixteen thousand, four hundred sixteen".