9826386048 has 320 divisors, whose sum is σ = 30924115200. Its totient is φ = 3091156992.

The previous prime is 9826386043. The next prime is 9826386061. The reversal of 9826386048 is 8406836289.

9826386048 is a `hidden beast` number, since 9 + 8 + 26 + 3 + 8 + 604 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 9826385985 and 9826386003.

It is not an unprimeable number, because it can be changed into a prime (9826386043) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 21223065 + ... + 21223527.

It is an arithmetic number, because the mean of its divisors is an integer number (96637860).

Almost surely, 2^9826386048 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 9826386048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15462057600).

9826386048 is an abundant number, since it is smaller than the sum of its proper divisors (21097729152).

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

9826386048 is a wasteful number, since it uses less digits than its factorization.

9826386048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 9826386048 is about 99128.1294487090. The cubic root of 9826386048 is about 2141.8938346270.

The spelling of 9826386048 in words is "nine billion, eight hundred twenty-six million, three hundred eighty-six thousand, forty-eight".