9849147264 has 512 divisors, whose sum is σ = 33312384000. Its totient is φ = 2838528000.

The previous prime is 9849147263. The next prime is 9849147281. The reversal of 9849147264 is 4627419489.

9849147264 is a `hidden beast` number, since 9 + 84 + 91 + 472 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 9849147264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9849147263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110664532 + ... + 110664620.

It is an arithmetic number, because the mean of its divisors is an integer number (65063250).

Almost surely, 2^9849147264 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 9849147264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16656192000).

9849147264 is an abundant number, since it is smaller than the sum of its proper divisors (23463236736).

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

9849147264 is a wasteful number, since it uses less digits than its factorization.

9849147264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 217 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 9849147264 is about 99242.8700915083. The cubic root of 9849147264 is about 2143.5463416034.

The spelling of 9849147264 in words is "nine billion, eight hundred forty-nine million, one hundred forty-seven thousand, two hundred sixty-four".