9946814592000 has 704 divisors, whose sum is σ = 38871461760768. Its totient is φ = 2225848320000.

The previous prime is 9946814591993. The next prime is 9946814592097. The reversal of 9946814592000 is 2954186499.

It is a tau number, because it is divible by the number of its divisors (704).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54821430 + ... + 55002570.

Almost surely, 2^{9946814592000} 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 9946814592000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19435730880384).

9946814592000 is an abundant number, since it is smaller than the sum of its proper divisors (28924647168768).

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

9946814592000 is a wasteful number, since it uses less digits than its factorization.

9946814592000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181203 (or 181175 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 57.

The spelling of 9946814592000 in words is "nine trillion, nine hundred forty-six billion, eight hundred fourteen million, five hundred ninety-two thousand".