9948914934400 has 192 divisors, whose sum is σ = 26472839926680. Its totient is φ = 3672699125760.

The previous prime is 9948914934373. The next prime is 9948914934407. The reversal of 9948914934400 is 44394198499.

It can be written as a sum of positive squares in 12 ways, for example, as 2056803904 + 9946858130496 = 45352^2 + 3153864^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (9948914934407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231149682 + ... + 231192718.

Almost surely, 2^{9948914934400} 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 9948914934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13236419963340).

9948914934400 is an abundant number, since it is smaller than the sum of its proper divisors (16523924992280).

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

9948914934400 is a wasteful number, since it uses less digits than its factorization.

9948914934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48631 (or 48614 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 64.

The spelling of 9948914934400 in words is "nine trillion, nine hundred forty-eight billion, nine hundred fourteen million, nine hundred thirty-four thousand, four hundred".