9447911424 has 624 divisors, whose sum is σ = 34347156480. Its totient is φ = 2441871360.

The previous prime is 9447911419. The next prime is 9447911477. The reversal of 9447911424 is 4241197449.

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

Its product of digits (290304) is a multiple of the sum of its prime factors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 9447911424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201019369 + ... + 201019415.

It is an arithmetic number, because the mean of its divisors is an integer number (55043520).

Almost surely, 2^9447911424 is an apocalyptic number.

9447911424 is a gapful number since it is divisible by the number (94) 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 9447911424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17173578240).

9447911424 is an abundant number, since it is smaller than the sum of its proper divisors (24899245056).

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

9447911424 is a wasteful number, since it uses less digits than its factorization.

9447911424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 119 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 9447911424 is about 97200.3674067130. The cubic root of 9447911424 is about 2114.0338534451.

The spelling of 9447911424 in words is "nine billion, four hundred forty-seven million, nine hundred eleven thousand, four hundred twenty-four".