9982661416 has 192 divisors, whose sum is σ = 25050816000. Its totient is φ = 3688312320.

The previous prime is 9982661401. The next prime is 9982661461. The reversal of 9982661416 is 6141662899.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4580215 + ... + 4582393.

It is an arithmetic number, because the mean of its divisors is an integer number (130473000).

Almost surely, 2^9982661416 is an apocalyptic number.

9982661416 is the 63191-st heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9982661416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12525408000).

9982661416 is an abundant number, since it is smaller than the sum of its proper divisors (15068154584).

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

9982661416 is a wasteful number, since it uses less digits than its factorization.

9982661416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272 (or 2261 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 52.

The square root of 9982661416 is about 99913.2694690750. The cubic root of 9982661416 is about 2153.1888081317.

The spelling of 9982661416 in words is "nine billion, nine hundred eighty-two million, six hundred sixty-one thousand, four hundred sixteen".