9865381248 has 192 divisors, whose sum is σ = 31641807600. Its totient is φ = 2932015104.

The previous prime is 9865381247. The next prime is 9865381249. The reversal of 9865381248 is 8421835689.

9865381248 is a `hidden beast` number, since 9 + 86 + 538 + 1 + 24 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (9865381247) and next prime (9865381249).

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 9865381194 and 9865381203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9865381241) 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 23 ways as a sum of consecutive naturals, for example, 358840 + ... + 385352.

Almost surely, 2^9865381248 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 9865381248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15820903800).

9865381248 is an abundant number, since it is smaller than the sum of its proper divisors (21776426352).

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

9865381248 is a wasteful number, since it uses less digits than its factorization.

9865381248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26569 (or 26554 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 9865381248 is about 99324.6255870114. The cubic root of 9865381248 is about 2144.7234044378.

The spelling of 9865381248 in words is "nine billion, eight hundred sixty-five million, three hundred eighty-one thousand, two hundred forty-eight".