9325141822080 has 960 divisors, whose sum is σ = 40430081577600. Its totient is φ = 2006058369024.

The previous prime is 9325141822079. The next prime is 9325141822081. The reversal of 9325141822080 is 802281415239.

9325141822080 is a `hidden beast` number, since 9 + 3 + 2 + 5 + 1 + 418 + 220 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9325141822079) and next prime (9325141822081).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9325141822081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 104827861 + ... + 104916779.

It is an arithmetic number, because the mean of its divisors is an integer number (42114668310).

Almost surely, 2^{9325141822080} is an apocalyptic number.

9325141822080 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9325141822080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20215040788800).

9325141822080 is an abundant number, since it is smaller than the sum of its proper divisors (31104939755520).

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

9325141822080 is a wasteful number, since it uses less digits than its factorization.

9325141822080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88991 (or 88953 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 9325141822080 in words is "nine trillion, three hundred twenty-five billion, one hundred forty-one million, eight hundred twenty-two thousand, eighty".