9060968448000 has 2880 divisors, whose sum is σ = 41177832783360. Its totient is φ = 1949250355200.

The previous prime is 9060968447957. The next prime is 9060968448019. The reversal of 9060968448000 is 8448690609.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×9060968448000² (a number of 27 digits) contains 22 as substring.

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

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 191 ways as a sum of consecutive naturals, for example, 532998143992 + ... + 532998144008.

Almost surely, 2^{9060968448000} is an apocalyptic number.

9060968448000 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 9060968448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20588916391680).

9060968448000 is an abundant number, since it is smaller than the sum of its proper divisors (32116864335360).

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

9060968448000 is an frugal number, since it uses more digits than its factorization.

9060968448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 9060968448000 in words is "nine trillion, sixty billion, nine hundred sixty-eight million, four hundred forty-eight thousand".