9261145824 has 216 divisors, whose sum is σ = 29300865048. Its totient is φ = 2553707520.

The previous prime is 9261145801. The next prime is 9261145841. The reversal of 9261145824 is 4285411629.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 3954894 + ... + 3957234.

It is an arithmetic number, because the mean of its divisors is an integer number (135652153).

Almost surely, 2^9261145824 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 9261145824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14650432524).

9261145824 is an abundant number, since it is smaller than the sum of its proper divisors (20039719224).

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

9261145824 is a wasteful number, since it uses less digits than its factorization.

9261145824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2382 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 9261145824 is about 96234.8472436051. The cubic root of 9261145824 is about 2100.0110221644.

The spelling of 9261145824 in words is "nine billion, two hundred sixty-one million, one hundred forty-five thousand, eight hundred twenty-four".