9912976686144 has 315 divisors, whose sum is σ = 34188219600183. Its totient is φ = 2831825670912.

The previous prime is 9912976686139. The next prime is 9912976686157. The reversal of 9912976686144 is 4416866792199.

The square root of 9912976686144 is 3148488.

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

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1586834829 + ... + 1586841075.

Almost surely, 2^{9912976686144} is an apocalyptic number.

9912976686144 is the 3148488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9912976686144

9912976686144 is an abundant number, since it is smaller than the sum of its proper divisors (24275242914039).

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

9912976686144 is an frugal number, since it uses more digits than its factorization.

9912976686144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12532 (or 6259 counting only the distinct ones).

The product of its digits is 282175488, while the sum is 72.

The spelling of 9912976686144 in words is "nine trillion, nine hundred twelve billion, nine hundred seventy-six million, six hundred eighty-six thousand, one hundred forty-four".