9325638208224 has 768 divisors, whose sum is σ = 30598537052160. Its totient is φ = 2779146381312.

The previous prime is 9325638208219. The next prime is 9325638208303. The reversal of 9325638208224 is 4228028365239.

It is a happy number.

9325638208224 is a `hidden beast` number, since 9 + 3 + 256 + 382 + 0 + 8 + 2 + 2 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4968373174 + ... + 4968375050.

It is an arithmetic number, because the mean of its divisors is an integer number (39841845120).

Almost surely, 2^{9325638208224} 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 9325638208224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15299268526080).

9325638208224 is an abundant number, since it is smaller than the sum of its proper divisors (21272898843936).

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

9325638208224 is a wasteful number, since it uses less digits than its factorization.

9325638208224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 9325638208224 in words is "nine trillion, three hundred twenty-five billion, six hundred thirty-eight million, two hundred eight thousand, two hundred twenty-four".