9949280445504 has 441 divisors, whose sum is σ = 31481430723957. Its totient is φ = 3117709191168.

The previous prime is 9949280445499. The next prime is 9949280445523. The reversal of 9949280445504 is 4055440829499.

The square root of 9949280445504 is 3154248.

It is a perfect power (a square), and thus also a powerful number.

9949280445504 is a `hidden beast` number, since 9 + 9 + 4 + 9 + 2 + 80 + 4 + 45 + 504 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7745979585600 + 2203300859904 = 2783160^2 + 1484352^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 11582398227 + ... + 11582399085.

Almost surely, 2^{9949280445504} is an apocalyptic number.

9949280445504 is the 3154248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9949280445504

9949280445504 is an abundant number, since it is smaller than the sum of its proper divisors (21532150278453).

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

9949280445504 is an frugal number, since it uses more digits than its factorization.

9949280445504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 9949280445504 in words is "nine trillion, nine hundred forty-nine billion, two hundred eighty million, four hundred forty-five thousand, five hundred four".