9448980480000 has 1100 divisors, whose sum is σ = 35672924502270. Its totient is φ = 2491416576000.

The previous prime is 9448980479993. The next prime is 9448980480041. The reversal of 9448980480000 is 840898449.

9448980480000 is a `hidden beast` number, since 9 + 4 + 4 + 89 + 80 + 480 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 30661410816 + 9418319069184 = 175104^2 + 3068928^2 .

It is a super-2 number, since 2×9448980480000² (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 (7) of ones.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 106168319956 + ... + 106168320044.

Almost surely, 2^{9448980480000} is an apocalyptic number.

9448980480000 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 9448980480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17836462251135).

9448980480000 is an abundant number, since it is smaller than the sum of its proper divisors (26223944022270).

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

9448980480000 is an frugal number, since it uses more digits than its factorization.

9448980480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 9448980480000 in words is "nine trillion, four hundred forty-eight billion, nine hundred eighty million, four hundred eighty thousand".