9149728896 has 640 divisors, whose sum is σ = 34632639360. Its totient is φ = 2329067520.

The previous prime is 9149728883. The next prime is 9149728921. The reversal of 9149728896 is 6988279419.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 58278450 + ... + 58278606.

It is an arithmetic number, because the mean of its divisors is an integer number (54113499).

Almost surely, 2^9149728896 is an apocalyptic number.

9149728896 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 9149728896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17316319680).

9149728896 is an abundant number, since it is smaller than the sum of its proper divisors (25482910464).

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

9149728896 is a wasteful number, since it uses less digits than its factorization.

9149728896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 253 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 63.

The square root of 9149728896 is about 95654.2152547393. The cubic root of 9149728896 is about 2091.5555748882. Note that the first 4 decimals are identical.

The spelling of 9149728896 in words is "nine billion, one hundred forty-nine million, seven hundred twenty-eight thousand, eight hundred ninety-six".