9946858130496 has 189 divisors, whose sum is σ = 33167476022421. Its totient is φ = 2841808080384.

The previous prime is 9946858130459. The next prime is 9946858130497. The reversal of 9946858130496 is 6940318586499.

The square root of 9946858130496 is 3153864.

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

9946858130496 is a `hidden beast` number, since 9 + 9 + 4 + 6 + 8 + 581 + 30 + 4 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9938382350400 + 8475780096 = 3152520^2 + 92064^2 .

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 (9946858130497) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 529839766 + ... + 529858538.

Almost surely, 2^{9946858130496} is an apocalyptic number.

9946858130496 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

9946858130496 is the 3153864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9946858130496

9946858130496 is an abundant number, since it is smaller than the sum of its proper divisors (23220617891925).

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

9946858130496 is an frugal number, since it uses more digits than its factorization.

9946858130496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37578 (or 18785 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 9946858130496 in words is "nine trillion, nine hundred forty-six billion, eight hundred fifty-eight million, one hundred thirty thousand, four hundred ninety-six".