10984484448 has 576 divisors, whose sum is σ = 40003891200. Its totient is φ = 2844979200.

The previous prime is 10984484437. The next prime is 10984484471. The reversal of 10984484448 is 84448448901.

It is a junction number, because it is equal to n+sod(n) for n = 10984484394 and 10984484403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52059063 + ... + 52059273.

It is an arithmetic number, because the mean of its divisors is an integer number (69451200).

Almost surely, 2^10984484448 is an apocalyptic number.

10984484448 is a gapful number since it is divisible by the number (18) 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 10984484448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20001945600).

10984484448 is an abundant number, since it is smaller than the sum of its proper divisors (29019406752).

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

10984484448 is a wasteful number, since it uses less digits than its factorization.

10984484448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 10984484448 in words is "ten billion, nine hundred eighty-four million, four hundred eighty-four thousand, four hundred forty-eight".