9946891618560 has 576 divisors, whose sum is σ = 40248935112960. Its totient is φ = 2304436469760.

The previous prime is 9946891618507. The next prime is 9946891618567. The reversal of 9946891618560 is 658161986499.

9946891618560 is a `hidden beast` number, since 9 + 9 + 46 + 8 + 9 + 1 + 6 + 18 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (9946891618567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6986595 + ... + 8288925.

It is an arithmetic number, because the mean of its divisors is an integer number (69876623460).

Almost surely, 2^{9946891618560} is an apocalyptic number.

9946891618560 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 9946891618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20124467556480).

9946891618560 is an abundant number, since it is smaller than the sum of its proper divisors (30302043494400).

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

9946891618560 is a wasteful number, since it uses less digits than its factorization.

9946891618560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302391 (or 1302371 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 72.

The spelling of 9946891618560 in words is "nine trillion, nine hundred forty-six billion, eight hundred ninety-one million, six hundred eighteen thousand, five hundred sixty".