9147824896 has 108 divisors (see below), whose sum is σ = 21327954480. Its totient is φ = 3904481280.

The previous prime is 9147824887. The next prime is 9147824927. The reversal of 9147824896 is 6984287419.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 9147824896.

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, 3372981 + ... + 3375691.

It is an arithmetic number, because the mean of its divisors is an integer number (197481060).

Almost surely, 2^9147824896 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 9147824896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10663977240).

9147824896 is an abundant number, since it is smaller than the sum of its proper divisors (12180129584).

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

9147824896 is a wasteful number, since it uses less digits than its factorization.

9147824896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3010 (or 2989 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 58.

The square root of 9147824896 is about 95644.2622220486. The cubic root of 9147824896 is about 2091.4104850491.

The spelling of 9147824896 in words is "nine billion, one hundred forty-seven million, eight hundred twenty-four thousand, eight hundred ninety-six".