9120071245824 has 1344 divisors, whose sum is σ = 34543081048320. Its totient is φ = 2351415951360.

The previous prime is 9120071245811. The next prime is 9120071245849. The reversal of 9120071245824 is 4285421700219.

9120071245824 is a `hidden beast` number, since 9 + 120 + 0 + 71 + 2 + 458 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a self number, because there is not a number n which added to its sum of digits gives 9120071245824.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 27062525784 + ... + 27062526120.

Almost surely, 2^{9120071245824} 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 9120071245824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17271540524160).

9120071245824 is an abundant number, since it is smaller than the sum of its proper divisors (25423009802496).

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

9120071245824 is a wasteful number, since it uses less digits than its factorization.

9120071245824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 9120071245824 in words is "nine trillion, one hundred twenty billion, seventy-one million, two hundred forty-five thousand, eight hundred twenty-four".