9832049136 has 240 divisors, whose sum is σ = 35355549600. Its totient is φ = 2592995328.

The previous prime is 9832049099. The next prime is 9832049137. The reversal of 9832049136 is 6319402389.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 9832049091 and 9832049100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9832049137) 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 47 ways as a sum of consecutive naturals, for example, 257320 + ... + 293048.

It is an arithmetic number, because the mean of its divisors is an integer number (147314790).

Almost surely, 2^9832049136 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 9832049136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17677774800).

9832049136 is an abundant number, since it is smaller than the sum of its proper divisors (25523500464).

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

9832049136 is a wasteful number, since it uses less digits than its factorization.

9832049136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35773 (or 35754 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 9832049136 is about 99156.6898196990. The cubic root of 9832049136 is about 2142.3052237101.

It can be divided in two parts, 98320 and 49136, that added together give a square (147456 = 384²).

The spelling of 9832049136 in words is "nine billion, eight hundred thirty-two million, forty-nine thousand, one hundred thirty-six".